2552893440 has 208 divisors, whose sum is σ = 8396495808. Its totient is φ = 661782528.

The previous prime is 2552893391. The next prime is 2552893457. The reversal of 2552893440 is 443982552.

It is a junction number, because it is equal to n+sod(n) for n = 2552893392 and 2552893401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2272719 + ... + 2273841.

Almost surely, 2^2552893440 is an apocalyptic number.

2552893440 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 2552893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198247904).

2552893440 is an abundant number, since it is smaller than the sum of its proper divisors (5843602368).

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

2552893440 is a wasteful number, since it uses less digits than its factorization.

2552893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 2552893440 is about 50526.1658945145. The cubic root of 2552893440 is about 1366.7137460152.

The spelling of 2552893440 in words is "two billion, five hundred fifty-two million, eight hundred ninety-three thousand, four hundred forty".