2137758048 has 96 divisors (see below), whose sum is σ = 6248793600. Its totient is φ = 711024768.

The previous prime is 2137758037. The next prime is 2137758083. The reversal of 2137758048 is 8408577312.

2137758048 is a `hidden beast` number, since 21 + 3 + 7 + 7 + 580 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2137757994 and 2137758012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432133 + ... + 437051.

It is an arithmetic number, because the mean of its divisors is an integer number (65091600).

Almost surely, 2^2137758048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137758048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124396800).

2137758048 is an abundant number, since it is smaller than the sum of its proper divisors (4111035552).

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

2137758048 is a wasteful number, since it uses less digits than its factorization.

2137758048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5441 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 2137758048 is about 46235.8956655973. The cubic root of 2137758048 is about 1288.2085680016.

The spelling of 2137758048 in words is "two billion, one hundred thirty-seven million, seven hundred fifty-eight thousand, forty-eight".