2764146072 has 64 divisors (see below), whose sum is σ = 7218881280. Its totient is φ = 880336512.

The previous prime is 2764145987. The next prime is 2764146097. The reversal of 2764146072 is 2706414672.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2764146072.

It is a congruent number.

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, 614343 + ... + 618825.

It is an arithmetic number, because the mean of its divisors is an integer number (112795020).

Almost surely, 2^2764146072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2764146072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609440640).

2764146072 is an abundant number, since it is smaller than the sum of its proper divisors (4454735208).

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

2764146072 is a wasteful number, since it uses less digits than its factorization.

2764146072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5632 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 2764146072 is about 52575.1469042170. The cubic root of 2764146072 is about 1403.4178518514.

The spelling of 2764146072 in words is "two billion, seven hundred sixty-four million, one hundred forty-six thousand, seventy-two".