2115832820400 has 180 divisors, whose sum is σ = 7907337609808. Its totient is φ = 520820375040.

The previous prime is 2115832820399. The next prime is 2115832820417. The reversal of 2115832820400 is 40282385112.

It is a happy number.

2115832820400 is a `hidden beast` number, since 2 + 11 + 583 + 2 + 8 + 20 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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, 22558252 + ... + 22651851.

Almost surely, 2^{2115832820400} is an apocalyptic number.

2115832820400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2115832820400 is an abundant number, since it is smaller than the sum of its proper divisors (5791504789408).

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

2115832820400 is a wasteful number, since it uses less digits than its factorization.

2115832820400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45210140 (or 45210126 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 2115832820400 in words is "two trillion, one hundred fifteen billion, eight hundred thirty-two million, eight hundred twenty thousand, four hundred".