2652338052 has 432 divisors, whose sum is σ = 8952652800. Its totient is φ = 660441600.

The previous prime is 2652338047. The next prime is 2652338063. The reversal of 2652338052 is 2508332562.

2652338052 is a `hidden beast` number, since 2 + 6 + 523 + 3 + 80 + 52 = 666.

It is a super-3 number, since 3×2652338052³ (a number of 29 digits) contains 333 as substring.

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 = 2652337998 and 2652338016.

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 143 ways as a sum of consecutive naturals, for example, 64691152 + ... + 64691192.

Almost surely, 2^2652338052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2652338052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476326400).

2652338052 is an abundant number, since it is smaller than the sum of its proper divisors (6300314748).

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

2652338052 is a wasteful number, since it uses less digits than its factorization.

2652338052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2652338052 is about 51500.8548666913. The cubic root of 2652338052 is about 1384.2343601976.

The spelling of 2652338052 in words is "two billion, six hundred fifty-two million, three hundred thirty-eight thousand, fifty-two".