2756007696 has 160 divisors (see below), whose sum is σ = 7839498240. Its totient is φ = 829204992.

The previous prime is 2756007691. The next prime is 2756007713. The reversal of 2756007696 is 6967006572.

It is a super-2 number, since 2×2756007696² = 15191156840822456832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2756007691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6577375 + ... + 6577793.

It is an arithmetic number, because the mean of its divisors is an integer number (48996864).

Almost surely, 2^2756007696 is an apocalyptic number.

2756007696 is a gapful number since it is divisible by the number (26) 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 2756007696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919749120).

2756007696 is an abundant number, since it is smaller than the sum of its proper divisors (5083490544).

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

2756007696 is a wasteful number, since it uses less digits than its factorization.

2756007696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 2756007696 is about 52497.6922921379. The cubic root of 2756007696 is about 1402.0391536227.

The spelling of 2756007696 in words is "two billion, seven hundred fifty-six million, seven thousand, six hundred ninety-six".