2652272064 has 168 divisors, whose sum is σ = 8254471680. Its totient is φ = 809367552.

The previous prime is 2652272041. The next prime is 2652272107. The reversal of 2652272064 is 4602722562.

2652272064 is a `hidden beast` number, since 2 + 6 + 522 + 72 + 0 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949582 + ... + 952370.

It is an arithmetic number, because the mean of its divisors is an integer number (49133760).

Almost surely, 2^2652272064 is an apocalyptic number.

2652272064 is a gapful number since it is divisible by the number (24) 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 2652272064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127235840).

2652272064 is an abundant number, since it is smaller than the sum of its proper divisors (5602199616).

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

2652272064 is a wasteful number, since it uses less digits than its factorization.

2652272064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2934 counting only the distinct ones).

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

The square root of 2652272064 is about 51500.2142131467. The cubic root of 2652272064 is about 1384.2228805630. Note that the first 3 decimals are identical.

The spelling of 2652272064 in words is "two billion, six hundred fifty-two million, two hundred seventy-two thousand, sixty-four".