2713634352 has 480 divisors, whose sum is σ = 9585100800. Its totient is φ = 727833600.

The previous prime is 2713634351. The next prime is 2713634389. The reversal of 2713634352 is 2534363172.

2713634352 is a `hidden beast` number, since 2 + 7 + 13 + 634 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×2713634352² = 14727622792708919808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2713634351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24895674 + ... + 24895782.

It is an arithmetic number, because the mean of its divisors is an integer number (19968960).

Almost surely, 2^2713634352 is an apocalyptic number.

2713634352 is a gapful number since it is divisible by the number (22) 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 2713634352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792550400).

2713634352 is an abundant number, since it is smaller than the sum of its proper divisors (6871466448).

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

2713634352 is a wasteful number, since it uses less digits than its factorization.

2713634352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 2713634352 is about 52092.5556293795. Note that the first 3 decimals coincide. The cubic root of 2713634352 is about 1394.8166067157.

The spelling of 2713634352 in words is "two billion, seven hundred thirteen million, six hundred thirty-four thousand, three hundred fifty-two".