2713137504 has 288 divisors, whose sum is σ = 9109916928. Its totient is φ = 691891200.

The previous prime is 2713137487. The next prime is 2713137533. The reversal of 2713137504 is 4057313172.

It is a super-2 number, since 2×2713137504² = 14722230231222700032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4959759 + ... + 4960305.

It is an arithmetic number, because the mean of its divisors is an integer number (31631656).

Almost surely, 2^2713137504 is an apocalyptic number.

2713137504 is a gapful number since it is divisible by the number (24) 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 2713137504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554958464).

2713137504 is an abundant number, since it is smaller than the sum of its proper divisors (6396779424).

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

2713137504 is a wasteful number, since it uses less digits than its factorization.

2713137504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 2713137504 is about 52087.7865146908. The cubic root of 2713137504 is about 1394.7314743740.

The spelling of 2713137504 in words is "two billion, seven hundred thirteen million, one hundred thirty-seven thousand, five hundred four".