2403457056 has 576 divisors, whose sum is σ = 9604344960. Its totient is φ = 574801920.

The previous prime is 2403457051. The next prime is 2403457081. The reversal of 2403457056 is 6507543042.

2403457056 is a `hidden beast` number, since 2 + 4 + 0 + 34 + 570 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2403457056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2403457051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6053850 + ... + 6054246.

It is an arithmetic number, because the mean of its divisors is an integer number (16674210).

Almost surely, 2^2403457056 is an apocalyptic number.

2403457056 is a gapful number since it is divisible by the number (26) 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 2403457056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802172480).

2403457056 is an abundant number, since it is smaller than the sum of its proper divisors (7200887904).

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

2403457056 is a wasteful number, since it uses less digits than its factorization.

2403457056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2403457056 is about 49025.0655889413. The cubic root of 2403457056 is about 1339.5084437469.

The spelling of 2403457056 in words is "two billion, four hundred three million, four hundred fifty-seven thousand, fifty-six".