2137742334 has 256 divisors, whose sum is σ = 6112296960. Its totient is φ = 538876800.

The previous prime is 2137742323. The next prime is 2137742351. The reversal of 2137742334 is 4332477312.

2137742334 is a `hidden beast` number, since 213 + 77 + 42 + 334 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14157159 + ... + 14157309.

It is an arithmetic number, because the mean of its divisors is an integer number (23876160).

Almost surely, 2^2137742334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137742334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056148480).

2137742334 is an abundant number, since it is smaller than the sum of its proper divisors (3974554626).

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

2137742334 is a wasteful number, since it uses less digits than its factorization.

2137742334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 2137742334 is about 46235.7257323814. The cubic root of 2137742334 is about 1288.2054115859.

The spelling of 2137742334 in words is "two billion, one hundred thirty-seven million, seven hundred forty-two thousand, three hundred thirty-four".