2630241900 has 432 divisors, whose sum is σ = 9827371008. Its totient is φ = 580032000.

The previous prime is 2630241883. The next prime is 2630241923. The reversal of 2630241900 is 91420362.

2630241900 is a `hidden beast` number, since 2 + 630 + 24 + 1 + 9 + 0 + 0 = 666.

2630241900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2630241900⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 13770805 + ... + 13770995.

It is an arithmetic number, because the mean of its divisors is an integer number (22748544).

Almost surely, 2^2630241900 is an apocalyptic number.

2630241900 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 2630241900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913685504).

2630241900 is an abundant number, since it is smaller than the sum of its proper divisors (7197129108).

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

2630241900 is a wasteful number, since it uses less digits than its factorization.

2630241900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2630241900 is about 51285.8840227991. The cubic root of 2630241900 is about 1380.3797001807.

The spelling of 2630241900 in words is "two billion, six hundred thirty million, two hundred forty-one thousand, nine hundred".