2679652608 has 144 divisors (see below), whose sum is σ = 7602698880. Its totient is φ = 834961408.

The previous prime is 2679652601. The next prime is 2679652639. The reversal of 2679652608 is 8062569762.

It is a super-2 number, since 2×2679652608² = 14361076199122403328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (2679652601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2179738 + ... + 2180966.

It is an arithmetic number, because the mean of its divisors is an integer number (52796520).

Almost surely, 2^2679652608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2679652608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801349440).

2679652608 is an abundant number, since it is smaller than the sum of its proper divisors (4923046272).

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

2679652608 is a wasteful number, since it uses less digits than its factorization.

2679652608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 2679652608 is about 51765.3610824845. The cubic root of 2679652608 is about 1388.9698918640.

The spelling of 2679652608 in words is "two billion, six hundred seventy-nine million, six hundred fifty-two thousand, six hundred eight".