2672683464 has 64 divisors (see below), whose sum is σ = 7319808000. Its totient is φ = 806496320.

The previous prime is 2672683457. The next prime is 2672683483. The reversal of 2672683464 is 4643862762.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41917 + ... + 84275.

It is an arithmetic number, because the mean of its divisors is an integer number (114372000).

Almost surely, 2^2672683464 is an apocalyptic number.

2672683464 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 2672683464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659904000).

2672683464 is an abundant number, since it is smaller than the sum of its proper divisors (4647124536).

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

2672683464 is a wasteful number, since it uses less digits than its factorization.

2672683464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42618 (or 42614 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The square root of 2672683464 is about 51698.0025146040. The cubic root of 2672683464 is about 1387.7647188447.

The spelling of 2672683464 in words is "two billion, six hundred seventy-two million, six hundred eighty-three thousand, four hundred sixty-four".