2137898880 has 512 divisors, whose sum is σ = 8444620800. Its totient is φ = 507617280.

The previous prime is 2137898827. The next prime is 2137898891. The reversal of 2137898880 is 888987312.

It is a super-2 number, since 2×2137898880² = 9141223242210508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6963687 + ... + 6963993.

It is an arithmetic number, because the mean of its divisors is an integer number (16493400).

Almost surely, 2^2137898880 is an apocalyptic number.

2137898880 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 2137898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222310400).

2137898880 is an abundant number, since it is smaller than the sum of its proper divisors (6306721920).

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

2137898880 is a wasteful number, since it uses less digits than its factorization.

2137898880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 2137898880 is about 46237.4186130671. The cubic root of 2137898880 is about 1288.2368557375.

The spelling of 2137898880 in words is "two billion, one hundred thirty-seven million, eight hundred ninety-eight thousand, eight hundred eighty".