2253538400 has 72 divisors (see below), whose sum is σ = 5532536520. Its totient is φ = 896322560.

The previous prime is 2253538379. The next prime is 2253538423. The reversal of 2253538400 is 48353522.

It is a super-3 number, since 3×2253538400³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135332 + ... + 151068.

It is an arithmetic number, because the mean of its divisors is an integer number (76840785).

Almost surely, 2^2253538400 is an apocalyptic number.

2253538400 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 2253538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766268260).

2253538400 is an abundant number, since it is smaller than the sum of its proper divisors (3278998120).

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

2253538400 is a wasteful number, since it uses less digits than its factorization.

2253538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15936 (or 15923 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2253538400 is about 47471.4482610337. The cubic root of 2253538400 is about 1311.0572433634.

The spelling of 2253538400 in words is "two billion, two hundred fifty-three million, five hundred thirty-eight thousand, four hundred".