2572970400 has 1728 divisors, whose sum is σ = 13465388160. Its totient is φ = 464486400.

The previous prime is 2572970347. The next prime is 2572970437. The reversal of 2572970400 is 40792752.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 151351192 + ... + 151351208.

It is an arithmetic number, because the mean of its divisors is an integer number (7792470).

Almost surely, 2^2572970400 is an apocalyptic number.

2572970400 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 2572970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732694080).

2572970400 is an abundant number, since it is smaller than the sum of its proper divisors (10892417760).

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

2572970400 is a wasteful number, since it uses less digits than its factorization.

2572970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2572970400 is about 50724.4556402531. The cubic root of 2572970400 is about 1370.2871864954.

The spelling of 2572970400 in words is "two billion, five hundred seventy-two million, nine hundred seventy thousand, four hundred".