2764118656 has 64 divisors (see below), whose sum is σ = 6188152320. Its totient is φ = 1220262912.

The previous prime is 2764118641. The next prime is 2764118663. The reversal of 2764118656 is 6568114672.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2161 + ... + 74383.

It is an arithmetic number, because the mean of its divisors is an integer number (96689880).

Almost surely, 2^2764118656 is an apocalyptic number.

2764118656 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 2764118656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094076160).

2764118656 is an abundant number, since it is smaller than the sum of its proper divisors (3424033664).

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

2764118656 is a wasteful number, since it uses less digits than its factorization.

2764118656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72273 (or 72261 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The square root of 2764118656 is about 52574.8861720118. The cubic root of 2764118656 is about 1403.4132119337.

The spelling of 2764118656 in words is "two billion, seven hundred sixty-four million, one hundred eighteen thousand, six hundred fifty-six".