2552895072 has 432 divisors, whose sum is σ = 9208442880. Its totient is φ = 656667648.

The previous prime is 2552895071. The next prime is 2552895073. The reversal of 2552895072 is 2705982552.

2552895072 is a `hidden beast` number, since 2 + 5 + 528 + 9 + 50 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (2552895071) and next prime (2552895073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552895071) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 20101473 + ... + 20101599.

It is an arithmetic number, because the mean of its divisors is an integer number (21315840).

Almost surely, 2^2552895072 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 2552895072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604221440).

2552895072 is an abundant number, since it is smaller than the sum of its proper divisors (6655547808).

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

2552895072 is a wasteful number, since it uses less digits than its factorization.

2552895072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 2552895072 is about 50526.1820445598. The cubic root of 2552895072 is about 1366.7140372502.

The spelling of 2552895072 in words is "two billion, five hundred fifty-two million, eight hundred ninety-five thousand, seventy-two".