2644272540 has 336 divisors, whose sum is σ = 10252095168. Its totient is φ = 557632512.

The previous prime is 2644272539. The next prime is 2644272551. The reversal of 2644272540 is 452724462.

2644272540 is a `hidden beast` number, since 2 + 6 + 4 + 42 + 72 + 540 = 666.

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 = 2644272495 and 2644272504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1325784 + ... + 1327776.

It is an arithmetic number, because the mean of its divisors is an integer number (30512188).

Almost surely, 2^2644272540 is an apocalyptic number.

2644272540 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 2644272540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126047584).

2644272540 is an abundant number, since it is smaller than the sum of its proper divisors (7607822628).

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

2644272540 is a wasteful number, since it uses less digits than its factorization.

2644272540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 2644272540 is about 51422.4906047928. The cubic root of 2644272540 is about 1382.8298264649.

The spelling of 2644272540 in words is "two billion, six hundred forty-four million, two hundred seventy-two thousand, five hundred forty".