2634249800 has 576 divisors, whose sum is σ = 8549452800. Its totient is φ = 745113600.

The previous prime is 2634249757. The next prime is 2634249833. The reversal of 2634249800 is 89424362.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84975785 + ... + 84975815.

It is an arithmetic number, because the mean of its divisors is an integer number (14842800).

Almost surely, 2^2634249800 is an apocalyptic number.

2634249800 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 2634249800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274726400).

2634249800 is an abundant number, since it is smaller than the sum of its proper divisors (5915203000).

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

2634249800 is a wasteful number, since it uses less digits than its factorization.

2634249800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 2634249800 is about 51324.9432537436. The cubic root of 2634249800 is about 1381.0804742702.

The spelling of 2634249800 in words is "two billion, six hundred thirty-four million, two hundred forty-nine thousand, eight hundred".