2563801632 has 576 divisors, whose sum is σ = 9481006080. Its totient is φ = 665127936.

The previous prime is 2563801619. The next prime is 2563801633. The reversal of 2563801632 is 2361083652.

It is a happy number.

2563801632 is a `hidden beast` number, since 2 + 5 + 638 + 0 + 16 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2563801633) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38265663 + ... + 38265729.

It is an arithmetic number, because the mean of its divisors is an integer number (16460080).

Almost surely, 2^2563801632 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 2563801632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740503040).

2563801632 is an abundant number, since it is smaller than the sum of its proper divisors (6917204448).

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

2563801632 is a wasteful number, since it uses less digits than its factorization.

2563801632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

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

The square root of 2563801632 is about 50633.9968005687. The cubic root of 2563801632 is about 1368.6575785973.

The spelling of 2563801632 in words is "two billion, five hundred sixty-three million, eight hundred one thousand, six hundred thirty-two".