2570793984 has 352 divisors, whose sum is σ = 8489318400. Its totient is φ = 761978880.

The previous prime is 2570793983. The next prime is 2570794021. The reversal of 2570793984 is 4893970752.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2570793984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2570793983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24026059 + ... + 24026165.

Almost surely, 2^2570793984 is an apocalyptic number.

2570793984 is a gapful number since it is divisible by the number (24) 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 2570793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244659200).

2570793984 is an abundant number, since it is smaller than the sum of its proper divisors (5918524416).

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

2570793984 is a wasteful number, since it uses less digits than its factorization.

2570793984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 2570793984 is about 50702.9977811963. The cubic root of 2570793984 is about 1369.9007127861.

The spelling of 2570793984 in words is "two billion, five hundred seventy million, seven hundred ninety-three thousand, nine hundred eighty-four".