2551485216 has 96 divisors (see below), whose sum is σ = 7662695040. Its totient is φ = 728211456.

The previous prime is 2551485191. The next prime is 2551485241. The reversal of 2551485216 is 6125841552.

It is an interprime number because it is at equal distance from previous prime (2551485191) and next prime (2551485241).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 958960 + ... + 961616.

It is an arithmetic number, because the mean of its divisors is an integer number (79819740).

Almost surely, 2^2551485216 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 2551485216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831347520).

2551485216 is an abundant number, since it is smaller than the sum of its proper divisors (5111209824).

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

2551485216 is a wasteful number, since it uses less digits than its factorization.

2551485216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4098 counting only the distinct ones).

The product of its digits is 96000, while the sum is 39.

The square root of 2551485216 is about 50512.2283808584. The cubic root of 2551485216 is about 1366.4623981308.

The spelling of 2551485216 in words is "two billion, five hundred fifty-one million, four hundred eighty-five thousand, two hundred sixteen".