2578974720 has 384 divisors, whose sum is σ = 9623577600. Its totient is φ = 577437696.

The previous prime is 2578974691. The next prime is 2578974737. The reversal of 2578974720 is 274798752.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2578974720² = 13302221212798156800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14407591 + ... + 14407769.

It is an arithmetic number, because the mean of its divisors is an integer number (25061400).

Almost surely, 2^2578974720 is an apocalyptic number.

2578974720 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 2578974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811788800).

2578974720 is an abundant number, since it is smaller than the sum of its proper divisors (7044602880).

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

2578974720 is a wasteful number, since it uses less digits than its factorization.

2578974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The square root of 2578974720 is about 50783.6068037708. The cubic root of 2578974720 is about 1371.3522655957.

The spelling of 2578974720 in words is "two billion, five hundred seventy-eight million, nine hundred seventy-four thousand, seven hundred twenty".