2250107468100 has 108 divisors (see below), whose sum is σ = 7071746317636. Its totient is φ = 598419912960.

The previous prime is 2250107468071. The next prime is 2250107468137. The reversal of 2250107468100 is 18647010522.

2250107468100 is a `hidden beast` number, since 2 + 2 + 501 + 0 + 7 + 46 + 8 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4928882436 + 2245178585664 = 70206^2 + 1498392^2 .

It is a super-2 number, since 2×2250107468100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3015667 + ... + 3687066.

Almost surely, 2^{2250107468100} is an apocalyptic number.

2250107468100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2250107468100 is an abundant number, since it is smaller than the sum of its proper divisors (4821638849536).

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

2250107468100 is a wasteful number, since it uses less digits than its factorization.

2250107468100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6703126 (or 6703116 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 2250107468100 in words is "two trillion, two hundred fifty billion, one hundred seven million, four hundred sixty-eight thousand, one hundred".