2553353400 has 240 divisors, whose sum is σ = 8632539000. Its totient is φ = 624299520.

The previous prime is 2553353381. The next prime is 2553353419. The reversal of 2553353400 is 43533552.

It is an interprime number because it is at equal distance from previous prime (2553353381) and next prime (2553353419).

It is a super-2 number, since 2×2553353400² = 13039227170583120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17136526 + ... + 17136674.

Almost surely, 2^2553353400 is an apocalyptic number.

2553353400 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 2553353400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316269500).

2553353400 is an abundant number, since it is smaller than the sum of its proper divisors (6079185600).

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

2553353400 is a wasteful number, since it uses less digits than its factorization.

2553353400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

The square root of 2553353400 is about 50530.7173905141. The cubic root of 2553353400 is about 1366.7958222839.

Adding to 2553353400 its reverse (43533552), we get a palindrome (2596886952).

The spelling of 2553353400 in words is "two billion, five hundred fifty-three million, three hundred fifty-three thousand, four hundred".