2137586880 has 448 divisors, whose sum is σ = 8332305408. Its totient is φ = 456867840.

The previous prime is 2137586861. The next prime is 2137586939. The reversal of 2137586880 is 886857312.

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

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, 3157102 + ... + 3157778.

It is an arithmetic number, because the mean of its divisors is an integer number (18598896).

Almost surely, 2^2137586880 is an apocalyptic number.

2137586880 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 2137586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166152704).

2137586880 is an abundant number, since it is smaller than the sum of its proper divisors (6194718528).

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

2137586880 is a wasteful number, since it uses less digits than its factorization.

2137586880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 2137586880 is about 46234.0445991912. The cubic root of 2137586880 is about 1288.1741852566.

The spelling of 2137586880 in words is "two billion, one hundred thirty-seven million, five hundred eighty-six thousand, eight hundred eighty".