2630849760 has 576 divisors, whose sum is σ = 11583129600. Its totient is φ = 545909760.

The previous prime is 2630849759. The next prime is 2630849821. The reversal of 2630849760 is 679480362.

2630849760 is a `hidden beast` number, since 2 + 630 + 8 + 4 + 9 + 7 + 6 + 0 = 666.

2630849760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3658681 + ... + 3659399.

It is an arithmetic number, because the mean of its divisors is an integer number (20109600).

Almost surely, 2^2630849760 is an apocalyptic number.

2630849760 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 2630849760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791564800).

2630849760 is an abundant number, since it is smaller than the sum of its proper divisors (8952279840).

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

2630849760 is a wasteful number, since it uses less digits than its factorization.

2630849760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2630849760 is about 51291.8098725323. The cubic root of 2630849760 is about 1380.4860291809.

The spelling of 2630849760 in words is "two billion, six hundred thirty million, eight hundred forty-nine thousand, seven hundred sixty".