2552639040 has 336 divisors, whose sum is σ = 10123456512. Its totient is φ = 578285568.

The previous prime is 2552639039. The next prime is 2552639041. The reversal of 2552639040 is 409362552.

2552639040 is a `hidden beast` number, since 2 + 5 + 526 + 3 + 90 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2552639039) and next prime (2552639041).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2552638986 and 2552639004.

It is not an unprimeable number, because it can be changed into a prime (2552639041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2559822 + ... + 2560818.

Almost surely, 2^2552639040 is an apocalyptic number.

2552639040 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 2552639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061728256).

2552639040 is an abundant number, since it is smaller than the sum of its proper divisors (7570817472).

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

2552639040 is a wasteful number, since it uses less digits than its factorization.

2552639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2552639040 is about 50523.6483243243. The cubic root of 2552639040 is about 1366.6683460882.

The spelling of 2552639040 in words is "two billion, five hundred fifty-two million, six hundred thirty-nine thousand, forty".