2721392640 has 480 divisors, whose sum is σ = 10381611240. Its totient is φ = 679477248.

The previous prime is 2721392617. The next prime is 2721392647. The reversal of 2721392640 is 462931272.

2721392640 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 3 + 9 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2203739136 + 517653504 = 46944^2 + 22752^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 2721392595 and 2721392604.

It is not an unprimeable number, because it can be changed into a prime (2721392647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14100384 + ... + 14100576.

Almost surely, 2^2721392640 is an apocalyptic number.

2721392640 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 2721392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5190805620).

2721392640 is an abundant number, since it is smaller than the sum of its proper divisors (7660218600).

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

2721392640 is a wasteful number, since it uses less digits than its factorization.

2721392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2721392640 is about 52166.9688596146. The cubic root of 2721392640 is about 1396.1446034285.

The spelling of 2721392640 in words is "two billion, seven hundred twenty-one million, three hundred ninety-two thousand, six hundred forty".