2492623200 has 144 divisors (see below), whose sum is σ = 8375463936. Its totient is φ = 643238400.

The previous prime is 2492623187. The next prime is 2492623223. The reversal of 2492623200 is 23262942.

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 23 ways as a sum of consecutive naturals, for example, 57649 + ... + 91151.

It is an arithmetic number, because the mean of its divisors is an integer number (58162944).

Almost surely, 2^2492623200 is an apocalyptic number.

2492623200 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 2492623200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187731968).

2492623200 is an abundant number, since it is smaller than the sum of its proper divisors (5882840736).

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

2492623200 is a wasteful number, since it uses less digits than its factorization.

2492623200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33557 (or 33544 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2492623200 is about 49926.1775023885. The cubic root of 2492623200 is about 1355.8725787630.

The spelling of 2492623200 in words is "two billion, four hundred ninety-two million, six hundred twenty-three thousand, two hundred".