2638200 has 48 divisors (see below), whose sum is σ = 8180280. Its totient is φ = 703360.

The previous prime is 2638199. The next prime is 2638201. The reversal of 2638200 is 28362.

It is an interprime number because it is at equal distance from previous prime (2638199) and next prime (2638201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638201) 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, 1599 + ... + 2798.

2^2638200 is an apocalyptic number.

2638200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2638200 is an abundant number, since it is smaller than the sum of its proper divisors (5542080).

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

2638200 is a wasteful number, since it uses less digits than its factorization.

2638200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2638200 is about 1624.2536747688. The cubic root of 2638200 is about 138.1770464440.

It can be divided in two parts, 26 and 38200, that added together give a triangular number (38226 = T₂₇₆).

The spelling of 2638200 in words is "two million, six hundred thirty-eight thousand, two hundred".