2137299840 has 768 divisors, whose sum is σ = 8901809280. Its totient is φ = 467140608.

The previous prime is 2137299781. The next prime is 2137299869. The reversal of 2137299840 is 489927312.

2137299840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29278044 + ... + 29278116.

Almost surely, 2^2137299840 is an apocalyptic number.

2137299840 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 2137299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4450904640).

2137299840 is an abundant number, since it is smaller than the sum of its proper divisors (6764509440).

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

2137299840 is a wasteful number, since it uses less digits than its factorization.

2137299840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2137299840 is about 46230.9402889450. The cubic root of 2137299840 is about 1288.1165230280.

The spelling of 2137299840 in words is "two billion, one hundred thirty-seven million, two hundred ninety-nine thousand, eight hundred forty".