2652839592516 has 243 divisors, whose sum is σ = 7049576801631. Its totient is φ = 841140685728.

The previous prime is 2652839592509. The next prime is 2652839592521. The reversal of 2652839592516 is 6152959382562.

The square root of 2652839592516 is 1628754.

It is a perfect power (a square), and thus also a powerful number.

2652839592516 is a `hidden beast` number, since 2 + 6 + 5 + 2 + 8 + 39 + 592 + 5 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24792893335 + ... + 24792893441.

Almost surely, 2^{2652839592516} is an apocalyptic number.

2652839592516 is the 1628754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2652839592516

2652839592516 is an abundant number, since it is smaller than the sum of its proper divisors (4396737209115).

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

2652839592516 is a wasteful number, since it uses less digits than its factorization.

2652839592516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 214 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 2652839592516 in words is "two trillion, six hundred fifty-two billion, eight hundred thirty-nine million, five hundred ninety-two thousand, five hundred sixteen".