2572752000 has 1024 divisors, whose sum is σ = 11405721600. Its totient is φ = 497664000.

The previous prime is 2572751989. The next prime is 2572752011. The reversal of 2572752000 is 2572752.

It is an interprime number because it is at equal distance from previous prime (2572751989) and next prime (2572752011).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82991985 + ... + 82992015.

It is an arithmetic number, because the mean of its divisors is an integer number (11138400).

Almost surely, 2^2572752000 is an apocalyptic number.

2572752000 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 2572752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702860800).

2572752000 is an abundant number, since it is smaller than the sum of its proper divisors (8832969600).

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

2572752000 is a wasteful number, since it uses less digits than its factorization.

2572752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 2572752000 is about 50722.3027868412. The cubic root of 2572752000 is about 1370.2484142927.

2572752000 divided by its reverse (2572752) gives a cube (1000 = 10³).

The spelling of 2572752000 in words is "two billion, five hundred seventy-two million, seven hundred fifty-two thousand".