2721649680 has 640 divisors, whose sum is σ = 10799308800. Its totient is φ = 625729536.

The previous prime is 2721649643. The next prime is 2721649703. The reversal of 2721649680 is 869461272.

It is a happy number.

2721649680 is a `hidden beast` number, since 2 + 72 + 16 + 496 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32790919 + ... + 32791001.

It is an arithmetic number, because the mean of its divisors is an integer number (16873920).

Almost surely, 2^2721649680 is an apocalyptic number.

2721649680 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 2721649680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399654400).

2721649680 is an abundant number, since it is smaller than the sum of its proper divisors (8077659120).

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

2721649680 is a wasteful number, since it uses less digits than its factorization.

2721649680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2721649680 is about 52169.4324293451. The cubic root of 2721649680 is about 1396.1885580942.

The spelling of 2721649680 in words is "two billion, seven hundred twenty-one million, six hundred forty-nine thousand, six hundred eighty".