2552578272 has 240 divisors, whose sum is σ = 8008906752. Its totient is φ = 795674880.

The previous prime is 2552578267. The next prime is 2552578277. The reversal of 2552578272 is 2728752552.

2552578272 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 578 + 2 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (2552578267) and next prime (2552578277).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552578277) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2801497 + ... + 2802407.

Almost surely, 2^2552578272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552578272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004453376).

2552578272 is an abundant number, since it is smaller than the sum of its proper divisors (5456328480).

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

2552578272 is a wasteful number, since it uses less digits than its factorization.

2552578272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 986 counting only the distinct ones).

The product of its digits is 784000, while the sum is 45.

The square root of 2552578272 is about 50523.0469389961. The cubic root of 2552578272 is about 1366.6575010556.

The spelling of 2552578272 in words is "two billion, five hundred fifty-two million, five hundred seventy-eight thousand, two hundred seventy-two".