2803561632 has 480 divisors, whose sum is σ = 9343724544. Its totient is φ = 821145600.

The previous prime is 2803561627. The next prime is 2803561679. The reversal of 2803561632 is 2361653082.

It is a happy number.

2803561632 is a `hidden beast` number, since 2 + 8 + 0 + 3 + 5 + 616 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68379532 + ... + 68379572.

Almost surely, 2^2803561632 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 2803561632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671862272).

2803561632 is an abundant number, since it is smaller than the sum of its proper divisors (6540162912).

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

2803561632 is a wasteful number, since it uses less digits than its factorization.

2803561632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2803561632 is about 52948.6697849908. The cubic root of 2803561632 is about 1410.0571095022.

The spelling of 2803561632 in words is "two billion, eight hundred three million, five hundred sixty-one thousand, six hundred thirty-two".