2551553952 has 192 divisors, whose sum is σ = 7175798784. Its totient is φ = 792529920.

The previous prime is 2551553887. The next prime is 2551553959. The reversal of 2551553952 is 2593551552.

It is not an unprimeable number, because it can be changed into a prime (2551553959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16251858 + ... + 16252014.

It is an arithmetic number, because the mean of its divisors is an integer number (37373952).

Almost surely, 2^2551553952 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 2551553952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587899392).

2551553952 is an abundant number, since it is smaller than the sum of its proper divisors (4624244832).

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

2551553952 is a wasteful number, since it uses less digits than its factorization.

2551553952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its digits is 337500, while the sum is 42.

The square root of 2551553952 is about 50512.9087659778. The cubic root of 2551553952 is about 1366.4746686723.

The spelling of 2551553952 in words is "two billion, five hundred fifty-one million, five hundred fifty-three thousand, nine hundred fifty-two".