2475757440 has 512 divisors, whose sum is σ = 9623577600. Its totient is φ = 597860352.

The previous prime is 2475757397. The next prime is 2475757441. The reversal of 2475757440 is 447575742.

2475757440 is a `hidden beast` number, since 2 + 4 + 7 + 575 + 74 + 4 + 0 = 666.

It is a super-2 number, since 2×2475757440² = 12258749803430707200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2475757441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23137867 + ... + 23137973.

It is an arithmetic number, because the mean of its divisors is an integer number (18796050).

Almost surely, 2^2475757440 is an apocalyptic number.

2475757440 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 2475757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811788800).

2475757440 is an abundant number, since it is smaller than the sum of its proper divisors (7147820160).

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

2475757440 is a wasteful number, since it uses less digits than its factorization.

2475757440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 45.

The square root of 2475757440 is about 49756.9838314181. The cubic root of 2475757440 is about 1352.8075891202.

The spelling of 2475757440 in words is "two billion, four hundred seventy-five million, seven hundred fifty-seven thousand, four hundred forty".