2079627264 has 384 divisors, whose sum is σ = 7264857600. Its totient is φ = 579502080.

The previous prime is 2079627259. The next prime is 2079627293. The reversal of 2079627264 is 4627269702.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 7907197 + ... + 7907459.

It is an arithmetic number, because the mean of its divisors is an integer number (18918900).

Almost surely, 2^2079627264 is an apocalyptic number.

2079627264 is a gapful number since it is divisible by the number (24) 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 2079627264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632428800).

2079627264 is an abundant number, since it is smaller than the sum of its proper divisors (5185230336).

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

2079627264 is a wasteful number, since it uses less digits than its factorization.

2079627264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 292 counting only the distinct ones).

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

The square root of 2079627264 is about 45602.9304321553. The cubic root of 2079627264 is about 1276.4246055655.

The spelling of 2079627264 in words is "two billion, seventy-nine million, six hundred twenty-seven thousand, two hundred sixty-four".