2674728864 has 240 divisors, whose sum is σ = 8425488456. Its totient is φ = 829440000.

The previous prime is 2674728817. The next prime is 2674728877. The reversal of 2674728864 is 4688274762.

It is a happy number.

2674728864 is a `hidden beast` number, since 267 + 47 + 288 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2529285264 + 145443600 = 50292^2 + 12060^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2674728864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4450164 + ... + 4450764.

Almost surely, 2^2674728864 is an apocalyptic number.

2674728864 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 2674728864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212744228).

2674728864 is an abundant number, since it is smaller than the sum of its proper divisors (5750759592).

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

2674728864 is a wasteful number, since it uses less digits than its factorization.

2674728864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 724 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 2674728864 is about 51717.7809268727. The cubic root of 2674728864 is about 1388.1186465473.

It can be divided in two parts, 26747 and 28864, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 2674728864 in words is "two billion, six hundred seventy-four million, seven hundred twenty-eight thousand, eight hundred sixty-four".