2475957792 has 576 divisors, whose sum is σ = 9209410560. Its totient is φ = 564019200.

The previous prime is 2475957787. The next prime is 2475957829. The reversal of 2475957792 is 2977595742.

It is a happy number.

It is a super-2 number, since 2×2475957792² = 12260733975531030528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (11113200) is a multiple of the sum of its prime divisors (120).

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, 40589442 + ... + 40589502.

It is an arithmetic number, because the mean of its divisors is an integer number (15988560).

Almost surely, 2^2475957792 is an apocalyptic number.

2475957792 is a gapful number since it is divisible by the number (22) 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 2475957792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604705280).

2475957792 is an abundant number, since it is smaller than the sum of its proper divisors (6733452768).

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

2475957792 is a wasteful number, since it uses less digits than its factorization.

2475957792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its digits is 11113200, while the sum is 57.

The square root of 2475957792 is about 49758.9970960026. The cubic root of 2475957792 is about 1352.8440803626.

The spelling of 2475957792 in words is "two billion, four hundred seventy-five million, nine hundred fifty-seven thousand, seven hundred ninety-two".