2157577680 has 160 divisors (see below), whose sum is σ = 7268106240. Its totient is φ = 527454720.

The previous prime is 2157577673. The next prime is 2157577691. The reversal of 2157577680 is 867757512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133729 + ... + 148991.

It is an arithmetic number, because the mean of its divisors is an integer number (45425664).

Almost surely, 2^2157577680 is an apocalyptic number.

2157577680 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 2157577680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634053120).

2157577680 is an abundant number, since it is smaller than the sum of its proper divisors (5110528560).

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

2157577680 is a wasteful number, since it uses less digits than its factorization.

2157577680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15329 (or 15323 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 48.

The square root of 2157577680 is about 46449.7328302327. The cubic root of 2157577680 is about 1292.1774175105.

The spelling of 2157577680 in words is "two billion, one hundred fifty-seven million, five hundred seventy-seven thousand, six hundred eighty".