2253608400 has 240 divisors, whose sum is σ = 7773306048. Its totient is φ = 556032000.

The previous prime is 2253608377. The next prime is 2253608429. The reversal of 2253608400 is 48063522.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1243495 + ... + 1245305.

Almost surely, 2^2253608400 is an apocalyptic number.

2253608400 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 2253608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886653024).

2253608400 is an abundant number, since it is smaller than the sum of its proper divisors (5519697648).

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

2253608400 is a wasteful number, since it uses less digits than its factorization.

2253608400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2253608400 is about 47472.1855405879. The cubic root of 2253608400 is about 1311.0708180240.

The spelling of 2253608400 in words is "two billion, two hundred fifty-three million, six hundred eight thousand, four hundred".