2815201632 has 96 divisors (see below), whose sum is σ = 7842290400. Its totient is φ = 881205248.

The previous prime is 2815201621. The next prime is 2815201661. The reversal of 2815201632 is 2361025182.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2815201632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 828994 + ... + 832382.

It is an arithmetic number, because the mean of its divisors is an integer number (81690525).

Almost surely, 2^2815201632 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 2815201632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921145200).

2815201632 is an abundant number, since it is smaller than the sum of its proper divisors (5027088768).

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

2815201632 is a wasteful number, since it uses less digits than its factorization.

2815201632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2815201632 is about 53058.4737059030. The cubic root of 2815201632 is about 1412.0058690006.

The spelling of 2815201632 in words is "two billion, eight hundred fifteen million, two hundred one thousand, six hundred thirty-two".