2553053360 has 320 divisors, whose sum is σ = 7535517696. Its totient is φ = 790732800.

The previous prime is 2553053341. The next prime is 2553053401. The reversal of 2553053360 is 633503552.

It is a super-3 number, since 3×2553053360³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8156564 + ... + 8156876.

Almost surely, 2^2553053360 is an apocalyptic number.

2553053360 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 2553053360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767758848).

2553053360 is an abundant number, since it is smaller than the sum of its proper divisors (4982464336).

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

2553053360 is a wasteful number, since it uses less digits than its factorization.

2553053360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 32.

The square root of 2553053360 is about 50527.7484160931. The cubic root of 2553053360 is about 1366.7422836077.

The spelling of 2553053360 in words is "two billion, five hundred fifty-three million, fifty-three thousand, three hundred sixty".