2140577280 has 560 divisors, whose sum is σ = 8157942144. Its totient is φ = 537477120.

The previous prime is 2140577273. The next prime is 2140577333. The reversal of 2140577280 is 827750412.

2140577280 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 577 + 2 + 80 = 666.

2140577280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 57853422 + ... + 57853458.

Almost surely, 2^2140577280 is an apocalyptic number.

2140577280 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 2140577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078971072).

2140577280 is an abundant number, since it is smaller than the sum of its proper divisors (6017364864).

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

2140577280 is an frugal number, since it uses more digits than its factorization.

2140577280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2140577280 is about 46266.3731018544. The cubic root of 2140577280 is about 1288.7746070338.

The spelling of 2140577280 in words is "two billion, one hundred forty million, five hundred seventy-seven thousand, two hundred eighty".