2551252352 has 64 divisors (see below), whose sum is σ = 5567486400. Its totient is φ = 1154880000.

The previous prime is 2551252343. The next prime is 2551252367. The reversal of 2551252352 is 2532521552.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349799 + ... + 357017.

It is an arithmetic number, because the mean of its divisors is an integer number (86991975).

Almost surely, 2^2551252352 is an apocalyptic number.

2551252352 is a gapful number since it is divisible by the number (22) 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 2551252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783743200).

2551252352 is an abundant number, since it is smaller than the sum of its proper divisors (3016234048).

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

2551252352 is a wasteful number, since it uses less digits than its factorization.

2551252352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7495 (or 7483 counting only the distinct ones).

The product of its digits is 30000, while the sum is 32.

The square root of 2551252352 is about 50509.9233022581. The cubic root of 2551252352 is about 1366.4208263201.

The spelling of 2551252352 in words is "two billion, five hundred fifty-one million, two hundred fifty-two thousand, three hundred fifty-two".