2170672615400 has 96 divisors (see below), whose sum is σ = 5100275150040. Its totient is φ = 859076444160.

The previous prime is 2170672615351. The next prime is 2170672615403. The reversal of 2170672615400 is 45162760712.

It can be written as a sum of positive squares in 12 ways, for example, as 406668942436 + 1764003672964 = 637706^2 + 1328158^2 .

It is not an unprimeable number, because it can be changed into a prime (2170672615403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79390532 + ... + 79417868.

Almost surely, 2^{2170672615400} is an apocalyptic number.

2170672615400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2170672615400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550137575020).

2170672615400 is an abundant number, since it is smaller than the sum of its proper divisors (2929602534640).

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

2170672615400 is a wasteful number, since it uses less digits than its factorization.

2170672615400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31543 (or 31534 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 2170672615400 in words is "two trillion, one hundred seventy billion, six hundred seventy-two million, six hundred fifteen thousand, four hundred".