2551589040 has 960 divisors, whose sum is σ = 11502120960. Its totient is φ = 452874240.

The previous prime is 2551589023. The next prime is 2551589057. The reversal of 2551589040 is 409851552.

It is an interprime number because it is at equal distance from previous prime (2551589023) and next prime (2551589057).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2551589040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59339259 + ... + 59339301.

It is an arithmetic number, because the mean of its divisors is an integer number (11981376).

Almost surely, 2^2551589040 is an apocalyptic number.

2551589040 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 2551589040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5751060480).

2551589040 is an abundant number, since it is smaller than the sum of its proper divisors (8950531920).

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

2551589040 is a wasteful number, since it uses less digits than its factorization.

2551589040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The square root of 2551589040 is about 50513.2560819435. The cubic root of 2551589040 is about 1366.4809323903.

The spelling of 2551589040 in words is "two billion, five hundred fifty-one million, five hundred eighty-nine thousand, forty".