2100400893 has 12 divisors (see below), whose sum is σ = 3138530460. Its totient is φ = 1351982016.

The previous prime is 2100400891. The next prime is 2100400909. The reversal of 2100400893 is 3980040012.

It can be written as a sum of positive squares in 2 ways, for example, as 445294404 + 1655106489 = 21102^2 + 40683^2 .

It is not a de Polignac number, because 2100400893 - 2¹ = 2100400891 is a prime.

It is a super-2 number, since 2×2100400893² = 8823367822630394898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100400891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4023496 + ... + 4024017.

It is an arithmetic number, because the mean of its divisors is an integer number (261544205).

Almost surely, 2^2100400893 is an apocalyptic number.

It is an amenable number.

2100400893 is a deficient number, since it is larger than the sum of its proper divisors (1038129567).

2100400893 is a wasteful number, since it uses less digits than its factorization.

2100400893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8047548 (or 8047545 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2100400893 is about 45830.1308420563. The cubic root of 2100400893 is about 1280.6606479333.

The spelling of 2100400893 in words is "two billion, one hundred million, four hundred thousand, eight hundred ninety-three".