2102410666400 has 72 divisors (see below), whose sum is σ = 5599101884544. Its totient is φ = 764512966400.

The previous prime is 2102410666397. The next prime is 2102410666409. The reversal of 2102410666400 is 46660142012.

It is a super-2 number, since 2×2102410666400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2102410666409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119446352 + ... + 119463951.

It is an arithmetic number, because the mean of its divisors is an integer number (77765303952).

Almost surely, 2^{2102410666400} is an apocalyptic number.

2102410666400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102410666400 is an abundant number, since it is smaller than the sum of its proper divisors (3496691218144).

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

2102410666400 is a wasteful number, since it uses less digits than its factorization.

2102410666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238910334 (or 238910321 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 2102410666400 in words is "two trillion, one hundred two billion, four hundred ten million, six hundred sixty-six thousand, four hundred".