2672444880 has 640 divisors, whose sum is σ = 11480693760. Its totient is φ = 557383680.

The previous prime is 2672444861. The next prime is 2672444893. The reversal of 2672444880 is 884442762.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9510340 + ... + 9510620.

It is an arithmetic number, because the mean of its divisors is an integer number (17938584).

Almost surely, 2^2672444880 is an apocalyptic number.

2672444880 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 2672444880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5740346880).

2672444880 is an abundant number, since it is smaller than the sum of its proper divisors (8808248880).

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

2672444880 is a wasteful number, since it uses less digits than its factorization.

2672444880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 2672444880 is about 51695.6949851726. The cubic root of 2672444880 is about 1387.7234234806.

The spelling of 2672444880 in words is "two billion, six hundred seventy-two million, four hundred forty-four thousand, eight hundred eighty".