2551435272 has 96 divisors (see below), whose sum is σ = 7156749600. Its totient is φ = 820608768.

The previous prime is 2551435219. The next prime is 2551435291. The reversal of 2551435272 is 2725341552.

2551435272 is a `hidden beast` number, since 2 + 551 + 4 + 35 + 2 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252004 + ... + 261932.

It is an arithmetic number, because the mean of its divisors is an integer number (74549475).

Almost surely, 2^2551435272 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 2551435272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578374800).

2551435272 is an abundant number, since it is smaller than the sum of its proper divisors (4605314328).

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

2551435272 is a wasteful number, since it uses less digits than its factorization.

2551435272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10067 (or 10060 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 2551435272 is about 50511.7340031007. The cubic root of 2551435272 is about 1366.4534821416.

The spelling of 2551435272 in words is "two billion, five hundred fifty-one million, four hundred thirty-five thousand, two hundred seventy-two".