2452926240 has 240 divisors, whose sum is σ = 8843167872. Its totient is φ = 640037376.

The previous prime is 2452926233. The next prime is 2452926251. The reversal of 2452926240 is 426292542.

It is a happy number.

2452926240 is a `hidden beast` number, since 2 + 4 + 5 + 29 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2452926195 and 2452926204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 607107 + ... + 611133.

Almost surely, 2^2452926240 is an apocalyptic number.

2452926240 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 2452926240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421583936).

2452926240 is an abundant number, since it is smaller than the sum of its proper divisors (6390241632).

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

2452926240 is a wasteful number, since it uses less digits than its factorization.

2452926240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2452926240 is about 49527.0253498027. The cubic root of 2452926240 is about 1348.6362524584.

The spelling of 2452926240 in words is "two billion, four hundred fifty-two million, nine hundred twenty-six thousand, two hundred forty".