2538900 has 216 divisors, whose sum is σ = 10110464. Its totient is φ = 518400.

The previous prime is 2538883. The next prime is 2538917. The reversal of 2538900 is 98352.

It is an interprime number because it is at equal distance from previous prime (2538883) and next prime (2538917).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81885 + ... + 81915.

2^2538900 is an apocalyptic number.

2538900 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 2538900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055232).

2538900 is an abundant number, since it is smaller than the sum of its proper divisors (7571564).

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

2538900 is a wasteful number, since it uses less digits than its factorization.

2538900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2538900 is about 1593.3926069867. The cubic root of 2538900 is about 136.4211999395.

The spelling of 2538900 in words is "two million, five hundred thirty-eight thousand, nine hundred".