2714666760 has 384 divisors, whose sum is σ = 10171980000. Its totient is φ = 621969408.

The previous prime is 2714666737. The next prime is 2714666761. The reversal of 2714666760 is 676664172.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 262634436 + 2452032324 = 16206^2 + 49518^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2714666761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11854326 + ... + 11854554.

Almost surely, 2^2714666760 is an apocalyptic number.

2714666760 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 2714666760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085990000).

2714666760 is an abundant number, since it is smaller than the sum of its proper divisors (7457313240).

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

2714666760 is a wasteful number, since it uses less digits than its factorization.

2714666760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2714666760 is about 52102.4640492175. The cubic root of 2714666760 is about 1394.9934712763.

The spelling of 2714666760 in words is "two billion, seven hundred fourteen million, six hundred sixty-six thousand, seven hundred sixty".