2253502400 has 84 divisors (see below), whose sum is σ = 5557689672. Its totient is φ = 899343360.

The previous prime is 2253502379. The next prime is 2253502409. The reversal of 2253502400 is 42053522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253502409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 835454 + ... + 838146.

Almost surely, 2^2253502400 is an apocalyptic number.

2253502400 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 2253502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778844836).

2253502400 is an abundant number, since it is smaller than the sum of its proper divisors (3304187272).

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

2253502400 is a wasteful number, since it uses less digits than its factorization.

2253502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 2253502400 is about 47471.0690842328. The cubic root of 2253502400 is about 1311.0502619999.

Adding to 2253502400 its reverse (42053522), we get a palindrome (2295555922).

The spelling of 2253502400 in words is "two billion, two hundred fifty-three million, five hundred two thousand, four hundred".