2551003968 has 112 divisors (see below), whose sum is σ = 7092086400. Its totient is φ = 807696384.

The previous prime is 2551003967. The next prime is 2551004009. The reversal of 2551003968 is 8693001552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551003967) 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, 656046 + ... + 659922.

It is an arithmetic number, because the mean of its divisors is an integer number (63322200).

Almost surely, 2^2551003968 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 2551003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546043200).

2551003968 is an abundant number, since it is smaller than the sum of its proper divisors (4541082432).

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

2551003968 is a wasteful number, since it uses less digits than its factorization.

2551003968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 2551003968 is about 50507.4644780353. The cubic root of 2551003968 is about 1366.3764810289.

The spelling of 2551003968 in words is "two billion, five hundred fifty-one million, three thousand, nine hundred sixty-eight".