2652272640 has 384 divisors, whose sum is σ = 9658958400. Its totient is φ = 690094080.

The previous prime is 2652272599. The next prime is 2652272659. The reversal of 2652272640 is 462722562.

2652272640 is a `hidden beast` number, since 2 + 6 + 5 + 2 + 2 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 2652272595 and 2652272604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14653350 + ... + 14653530.

Almost surely, 2^2652272640 is an apocalyptic number.

2652272640 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 2652272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829479200).

2652272640 is an abundant number, since it is smaller than the sum of its proper divisors (7006685760).

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

2652272640 is a wasteful number, since it uses less digits than its factorization.

2652272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2652272640 is about 51500.2198053562. The cubic root of 2652272640 is about 1384.2229807680. Note that the first 3 decimals are identical.

The spelling of 2652272640 in words is "two billion, six hundred fifty-two million, two hundred seventy-two thousand, six hundred forty".