2551606080 has 112 divisors (see below), whose sum is σ = 8117457984. Its totient is φ = 679075840.

The previous prime is 2551606073. The next prime is 2551606087. The reversal of 2551606080 is 806061552.

It is an interprime number because it is at equal distance from previous prime (2551606073) and next prime (2551606087).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551606087) 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, 538120 + ... + 542840.

Almost surely, 2^2551606080 is an apocalyptic number.

2551606080 is a gapful number since it is divisible by the number (20) 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 2551606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058728992).

2551606080 is an abundant number, since it is smaller than the sum of its proper divisors (5565851904).

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

2551606080 is a wasteful number, since it uses less digits than its factorization.

2551606080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5304 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 2551606080 is about 50513.4247502582. The cubic root of 2551606080 is about 1366.4839742573.

The spelling of 2551606080 in words is "two billion, five hundred fifty-one million, six hundred six thousand, eighty".