2137071816 has 128 divisors (see below), whose sum is σ = 6816960000. Its totient is φ = 613500480.

The previous prime is 2137071809. The next prime is 2137071821. The reversal of 2137071816 is 6181707312.

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

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, 21475 + ... + 68813.

It is an arithmetic number, because the mean of its divisors is an integer number (53257500).

Almost surely, 2^2137071816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137071816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408480000).

2137071816 is an abundant number, since it is smaller than the sum of its proper divisors (4679888184).

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

2137071816 is a wasteful number, since it uses less digits than its factorization.

2137071816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47384 (or 47374 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 2137071816 is about 46228.4740825392. The cubic root of 2137071816 is about 1288.0707125896.

The spelling of 2137071816 in words is "two billion, one hundred thirty-seven million, seventy-one thousand, eight hundred sixteen".