2652656720 has 40 divisors (see below), whose sum is σ = 7048489344. Its totient is φ = 909482112.

The previous prime is 2652656719. The next prime is 2652656729. The reversal of 2652656720 is 276562562.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2652656720³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2652656729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2367884 + ... + 2369003.

Almost surely, 2^2652656720 is an apocalyptic number.

2652656720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2652656720 is an abundant number, since it is smaller than the sum of its proper divisors (4395832624).

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

2652656720 is a wasteful number, since it uses less digits than its factorization.

2652656720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4736907 (or 4736901 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The square root of 2652656720 is about 51503.9485864919. The cubic root of 2652656720 is about 1384.2897947515.

The spelling of 2652656720 in words is "two billion, six hundred fifty-two million, six hundred fifty-six thousand, seven hundred twenty".