2562538272 has 96 divisors (see below), whose sum is σ = 7793073792. Its totient is φ = 722110464.

The previous prime is 2562538271. The next prime is 2562538273. The reversal of 2562538272 is 2728352652.

It is an interprime number because it is at equal distance from previous prime (2562538271) and next prime (2562538273).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2562538271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22938 + ... + 75174.

It is an arithmetic number, because the mean of its divisors is an integer number (81177852).

Almost surely, 2^2562538272 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 2562538272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896536896).

2562538272 is an abundant number, since it is smaller than the sum of its proper divisors (5230535520).

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

2562538272 is a wasteful number, since it uses less digits than its factorization.

2562538272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52330 (or 52322 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 2562538272 is about 50621.5198507512. The cubic root of 2562538272 is about 1368.4327313352.

The spelling of 2562538272 in words is "two billion, five hundred sixty-two million, five hundred thirty-eight thousand, two hundred seventy-two".