2517138000 has 480 divisors, whose sum is σ = 9801372672. Its totient is φ = 597888000.

The previous prime is 2517137989. The next prime is 2517138017. The reversal of 2517138000 is 8317152.

It is a super-2 number, since 2×2517138000² = 12671967422088000000, which contains 22 as substring.

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, 7253827 + ... + 7254173.

Almost surely, 2^2517138000 is an apocalyptic number.

2517138000 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 2517138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900686336).

2517138000 is an abundant number, since it is smaller than the sum of its proper divisors (7284234672).

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

2517138000 is a wasteful number, since it uses less digits than its factorization.

2517138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 2517138000 is about 50171.0872913873. The cubic root of 2517138000 is about 1360.3030610655.

The spelling of 2517138000 in words is "two billion, five hundred seventeen million, one hundred thirty-eight thousand".