2572153920 has 448 divisors, whose sum is σ = 10533888000. Its totient is φ = 578672640.

The previous prime is 2572153879. The next prime is 2572153951. The reversal of 2572153920 is 293512752.

2572153920 is a `hidden beast` number, since 2 + 57 + 215 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4293781 + ... + 4294379.

Almost surely, 2^2572153920 is an apocalyptic number.

2572153920 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 2572153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266944000).

2572153920 is an abundant number, since it is smaller than the sum of its proper divisors (7961734080).

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

2572153920 is a wasteful number, since it uses less digits than its factorization.

2572153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 687 counting only the distinct ones).

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

The square root of 2572153920 is about 50716.4068127859. The cubic root of 2572153920 is about 1370.1422268738.

The spelling of 2572153920 in words is "two billion, five hundred seventy-two million, one hundred fifty-three thousand, nine hundred twenty".