2713562880 has 288 divisors, whose sum is σ = 9983092224. Its totient is φ = 615333888.

The previous prime is 2713562879. The next prime is 2713562911. The reversal of 2713562880 is 882653172.

It is a super-3 number, since 3×2713562880³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4219839 + ... + 4220481.

Almost surely, 2^2713562880 is an apocalyptic number.

2713562880 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 2713562880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991546112).

2713562880 is an abundant number, since it is smaller than the sum of its proper divisors (7269529344).

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

2713562880 is a wasteful number, since it uses less digits than its factorization.

2713562880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2713562880 is about 52091.8696151328. The cubic root of 2713562880 is about 1394.8043609971.

The spelling of 2713562880 in words is "two billion, seven hundred thirteen million, five hundred sixty-two thousand, eight hundred eighty".