2632042560 has 336 divisors, whose sum is σ = 9831189888. Its totient is φ = 584417280.

The previous prime is 2632042541. The next prime is 2632042571. The reversal of 2632042560 is 652402362.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11296204 + ... + 11296436.

Almost surely, 2^2632042560 is an apocalyptic number.

2632042560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2632042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915594944).

2632042560 is an abundant number, since it is smaller than the sum of its proper divisors (7199147328).

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

2632042560 is a wasteful number, since it uses less digits than its factorization.

2632042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2632042560 is about 51303.4361422313. The cubic root of 2632042560 is about 1380.6946303417.

The spelling of 2632042560 in words is "two billion, six hundred thirty-two million, forty-two thousand, five hundred sixty".