2137434600 has 96 divisors (see below), whose sum is σ = 7572640320. Its totient is φ = 488555520.

The previous prime is 2137434577. The next prime is 2137434601. The reversal of 2137434600 is 64347312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2137434601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250257 + ... + 258656.

It is an arithmetic number, because the mean of its divisors is an integer number (78881670).

Almost surely, 2^2137434600 is an apocalyptic number.

2137434600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137434600 is an abundant number, since it is smaller than the sum of its proper divisors (5435205720).

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

2137434600 is a wasteful number, since it uses less digits than its factorization.

2137434600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508939 (or 508930 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 2137434600 is about 46232.3977314610. The cubic root of 2137434600 is about 1288.1435950265.

The spelling of 2137434600 in words is "two billion, one hundred thirty-seven million, four hundred thirty-four thousand, six hundred".