2551514880 has 144 divisors (see below), whose sum is σ = 8174152224. Its totient is φ = 678297600.

The previous prime is 2551514879. The next prime is 2551514881. The reversal of 2551514880 is 884151552.

It is an interprime number because it is at equal distance from previous prime (2551514879) and next prime (2551514881).

It is a super-2 number, since 2×2551514880² = 13020456365722828800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551514881) 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, 1539012 + ... + 1540668.

It is an arithmetic number, because the mean of its divisors is an integer number (56764946).

Almost surely, 2^2551514880 is an apocalyptic number.

2551514880 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 2551514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087076112).

2551514880 is an abundant number, since it is smaller than the sum of its proper divisors (5622637344).

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

2551514880 is a wasteful number, since it uses less digits than its factorization.

2551514880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 39.

The square root of 2551514880 is about 50512.5220118735. The cubic root of 2551514880 is about 1366.4676936848.

The spelling of 2551514880 in words is "two billion, five hundred fifty-one million, five hundred fourteen thousand, eight hundred eighty".