2645179680 has 384 divisors, whose sum is σ = 9921864960. Its totient is φ = 583925760.

The previous prime is 2645179643. The next prime is 2645179709. The reversal of 2645179680 is 869715462.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6108744 + ... + 6109176.

It is an arithmetic number, because the mean of its divisors is an integer number (25838190).

Almost surely, 2^2645179680 is an apocalyptic number.

2645179680 is a gapful number since it is divisible by the number (20) 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 2645179680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960932480).

2645179680 is an abundant number, since it is smaller than the sum of its proper divisors (7276685280).

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

2645179680 is a wasteful number, since it uses less digits than its factorization.

2645179680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 2645179680 is about 51431.3103080215. The cubic root of 2645179680 is about 1382.9879388645.

The spelling of 2645179680 in words is "two billion, six hundred forty-five million, one hundred seventy-nine thousand, six hundred eighty".