2115164400 has 60 divisors (see below), whose sum is σ = 6775580472. Its totient is φ = 564043520.

The previous prime is 2115164377. The next prime is 2115164411. The reversal of 2115164400 is 44615112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 880119 + ... + 882518.

Almost surely, 2^2115164400 is an apocalyptic number.

2115164400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2115164400 is an abundant number, since it is smaller than the sum of its proper divisors (4660416072).

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

2115164400 is a wasteful number, since it uses less digits than its factorization.

2115164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762658 (or 1762647 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2115164400 is about 45990.9164944557. The cubic root of 2115164400 is about 1283.6541901205.

Adding to 2115164400 its reverse (44615112), we get a palindrome (2159779512).

The spelling of 2115164400 in words is "two billion, one hundred fifteen million, one hundred sixty-four thousand, four hundred".