2142137664 has 140 divisors (see below), whose sum is σ = 6569392500. Its totient is φ = 689375232.

The previous prime is 2142137633. The next prime is 2142137731. The reversal of 2142137664 is 4667312412.

It can be written as a sum of positive squares in 2 ways, for example, as 1353651264 + 788486400 = 36792^2 + 28080^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 19 ways as a sum of consecutive naturals, for example, 143212 + ... + 157460.

Almost surely, 2^2142137664 is an apocalyptic number.

2142137664 is a gapful number since it is divisible by the number (24) 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 2142137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284696250).

2142137664 is an abundant number, since it is smaller than the sum of its proper divisors (4427254836).

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

2142137664 is a wasteful number, since it uses less digits than its factorization.

2142137664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14302 (or 14283 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2142137664 is about 46283.2330763528. The cubic root of 2142137664 is about 1289.0876837685.

The spelling of 2142137664 in words is "two billion, one hundred forty-two million, one hundred thirty-seven thousand, six hundred sixty-four".