2652715632 has 320 divisors, whose sum is σ = 8721727488. Its totient is φ = 677376000.

The previous prime is 2652715631. The next prime is 2652715633. The reversal of 2652715632 is 2365172562.

It is a happy number.

2652715632 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2652715631) and next prime (2652715633).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2652715631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12572007 + ... + 12572217.

Almost surely, 2^2652715632 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 2652715632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360863744).

2652715632 is an abundant number, since it is smaller than the sum of its proper divisors (6069011856).

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

2652715632 is a wasteful number, since it uses less digits than its factorization.

2652715632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 2652715632 is about 51504.5205006318. The cubic root of 2652715632 is about 1384.3000424246.

The spelling of 2652715632 in words is "two billion, six hundred fifty-two million, seven hundred fifteen thousand, six hundred thirty-two".