2137707768 has 256 divisors, whose sum is σ = 6635520000. Its totient is φ = 560761344.

The previous prime is 2137707763. The next prime is 2137707787. The reversal of 2137707768 is 8677077312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137707763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14346958 + ... + 14347106.

It is an arithmetic number, because the mean of its divisors is an integer number (25920000).

Almost surely, 2^2137707768 is an apocalyptic number.

2137707768 is a gapful number since it is divisible by the number (28) 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 2137707768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317760000).

2137707768 is an abundant number, since it is smaller than the sum of its proper divisors (4497812232).

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

2137707768 is a wasteful number, since it uses less digits than its factorization.

2137707768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 48.

The square root of 2137707768 is about 46235.3519290164. The cubic root of 2137707768 is about 1288.1984683812.

The spelling of 2137707768 in words is "two billion, one hundred thirty-seven million, seven hundred seven thousand, seven hundred sixty-eight".