2632217905632 has 144 divisors (see below), whose sum is σ = 8038723830480. Its totient is φ = 751963226112.

The previous prime is 2632217905621. The next prime is 2632217905637. The reversal of 2632217905632 is 2365097122362.

It is a happy number.

It is a super-2 number, since 2×2632217905632² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2632217905637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40407744 + ... + 40472832.

It is an arithmetic number, because the mean of its divisors is an integer number (55824471045).

Almost surely, 2^{2632217905632} 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 2632217905632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019361915240).

2632217905632 is an abundant number, since it is smaller than the sum of its proper divisors (5406505924848).

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

2632217905632 is a wasteful number, since it uses less digits than its factorization.

2632217905632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73713 (or 73698 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 2632217905632 in words is "two trillion, six hundred thirty-two billion, two hundred seventeen million, nine hundred five thousand, six hundred thirty-two".