2137086720 has 144 divisors (see below), whose sum is σ = 7583812320. Its totient is φ = 569880576.

The previous prime is 2137086697. The next prime is 2137086727. The reversal of 2137086720 is 276807312.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2137086727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3642 + ... + 65478.

Almost surely, 2^2137086720 is an apocalyptic number.

2137086720 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 2137086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791906160).

2137086720 is an abundant number, since it is smaller than the sum of its proper divisors (5446725600).

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

2137086720 is an equidigital number, since it uses as much as digits as its factorization.

2137086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61867 (or 61847 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2137086720 is about 46228.6352816087. The cubic root of 2137086720 is about 1288.0737069300.

The spelling of 2137086720 in words is "two billion, one hundred thirty-seven million, eighty-six thousand, seven hundred twenty".