2746264320 has 432 divisors, whose sum is σ = 10359891360. Its totient is φ = 668860416.

The previous prime is 2746264319. The next prime is 2746264343. The reversal of 2746264320 is 234626472.

2746264320 is a `hidden beast` number, since 2 + 7 + 4 + 6 + 2 + 643 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7245891 + ... + 7246269.

It is an arithmetic number, because the mean of its divisors is an integer number (23981230).

Almost surely, 2^2746264320 is an apocalyptic number.

2746264320 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 2746264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179945680).

2746264320 is an abundant number, since it is smaller than the sum of its proper divisors (7613627040).

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

2746264320 is a wasteful number, since it uses less digits than its factorization.

2746264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2746264320 is about 52404.8119927932. The cubic root of 2746264320 is about 1400.3849825603.

The spelling of 2746264320 in words is "two billion, seven hundred forty-six million, two hundred sixty-four thousand, three hundred twenty".