2679315072 has 256 divisors, whose sum is σ = 8389785600. Its totient is φ = 741888000.

The previous prime is 2679315053. The next prime is 2679315083. The reversal of 2679315072 is 2705139762.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19275579 + ... + 19275717.

It is an arithmetic number, because the mean of its divisors is an integer number (32772600).

Almost surely, 2^2679315072 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 2679315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194892800).

2679315072 is an abundant number, since it is smaller than the sum of its proper divisors (5710470528).

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

2679315072 is a wasteful number, since it uses less digits than its factorization.

2679315072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 2679315072 is about 51762.1007301674. The cubic root of 2679315072 is about 1388.9115699971.

The spelling of 2679315072 in words is "two billion, six hundred seventy-nine million, three hundred fifteen thousand, seventy-two".