2975256000 has 504 divisors, whose sum is σ = 11253136752. Its totient is φ = 749952000.

The previous prime is 2975255977. The next prime is 2975256001. The reversal of 2975256000 is 6525792.

2975256000 is a `hidden beast` number, since 2 + 97 + 5 + 2 + 560 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2975256001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69191979 + ... + 69192021.

Almost surely, 2^2975256000 is an apocalyptic number.

2975256000 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 2975256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626568376).

2975256000 is an abundant number, since it is smaller than the sum of its proper divisors (8277880752).

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

2975256000 is a wasteful number, since it uses less digits than its factorization.

2975256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 2975256000 is about 54545.9072708485. The cubic root of 2975256000 is about 1438.2733935335.

The spelling of 2975256000 in words is "two billion, nine hundred seventy-five million, two hundred fifty-six thousand".