2672470584 has 240 divisors, whose sum is σ = 9221564880. Its totient is φ = 718502400.

The previous prime is 2672470529. The next prime is 2672470637. The reversal of 2672470584 is 4850742762.

It is a happy number.

2672470584 is a `hidden beast` number, since 2 + 67 + 2 + 4 + 7 + 0 + 584 = 666.

2672470584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 537309 + ... + 542259.

It is an arithmetic number, because the mean of its divisors is an integer number (38423187).

Almost surely, 2^2672470584 is an apocalyptic number.

2672470584 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 2672470584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610782440).

2672470584 is an abundant number, since it is smaller than the sum of its proper divisors (6549094296).

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

2672470584 is a wasteful number, since it uses less digits than its factorization.

2672470584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 2672470584 is about 51695.9435932840. The cubic root of 2672470584 is about 1387.7278725812.

The spelling of 2672470584 in words is "two billion, six hundred seventy-two million, four hundred seventy thousand, five hundred eighty-four".