2553258240 has 288 divisors, whose sum is σ = 9759200640. Its totient is φ = 628383744.

The previous prime is 2553258233. The next prime is 2553258259. The reversal of 2553258240 is 428523552.

It is a happy number.

2553258240 is a `hidden beast` number, since 2 + 5 + 5 + 32 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 2553258195 and 2553258204.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 446439 + ... + 452121.

Almost surely, 2^2553258240 is an apocalyptic number.

2553258240 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 2553258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879600320).

2553258240 is an abundant number, since it is smaller than the sum of its proper divisors (7205942400).

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

2553258240 is a wasteful number, since it uses less digits than its factorization.

2553258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 2553258240 is about 50529.7757762688. The cubic root of 2553258240 is about 1366.7788425341.

The spelling of 2553258240 in words is "two billion, five hundred fifty-three million, two hundred fifty-eight thousand, two hundred forty".