2137661280 has 384 divisors, whose sum is σ = 7810992000. Its totient is φ = 552407040.

The previous prime is 2137661249. The next prime is 2137661293. The reversal of 2137661280 is 821667312.

2137661280 is a `hidden beast` number, since 2 + 1 + 37 + 6 + 612 + 8 + 0 = 666.

It is a super-2 number, since 2×2137661280² = 9139191496022476800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 14346646 + ... + 14346794.

It is an arithmetic number, because the mean of its divisors is an integer number (20341125).

Almost surely, 2^2137661280 is an apocalyptic number.

2137661280 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 2137661280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905496000).

2137661280 is an abundant number, since it is smaller than the sum of its proper divisors (5673330720).

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

2137661280 is an equidigital number, since it uses as much as digits as its factorization.

2137661280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2137661280 is about 46234.8491940874. The cubic root of 2137661280 is about 1288.1891303096.

The spelling of 2137661280 in words is "two billion, one hundred thirty-seven million, six hundred sixty-one thousand, two hundred eighty".