2489909760 has 640 divisors, whose sum is σ = 10146850560. Its totient is φ = 573308928.

The previous prime is 2489909749. The next prime is 2489909831. The reversal of 2489909760 is 679099842.

2489909760 is a `hidden beast` number, since 2 + 489 + 90 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2489909760² = 12399301225886515200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2489909697 and 2489909706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15275439 + ... + 15275601.

It is an arithmetic number, because the mean of its divisors is an integer number (15854454).

Almost surely, 2^2489909760 is an apocalyptic number.

2489909760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2489909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073425280).

2489909760 is an abundant number, since it is smaller than the sum of its proper divisors (7656940800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2489909760 is a wasteful number, since it uses less digits than its factorization.

2489909760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 2489909760 is about 49898.9955810736. The cubic root of 2489909760 is about 1355.3804045349.

The spelling of 2489909760 in words is "two billion, four hundred eighty-nine million, nine hundred nine thousand, seven hundred sixty".