2632408416 has 192 divisors, whose sum is σ = 8665574400. Its totient is φ = 770112000.

The previous prime is 2632408393. The next prime is 2632408423. The reversal of 2632408416 is 6148042362.

2632408416 is a `hidden beast` number, since 2 + 632 + 4 + 0 + 8 + 4 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270841 + ... + 280391.

It is an arithmetic number, because the mean of its divisors is an integer number (45133200).

Almost surely, 2^2632408416 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 2632408416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332787200).

2632408416 is an abundant number, since it is smaller than the sum of its proper divisors (6033165984).

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

2632408416 is a wasteful number, since it uses less digits than its factorization.

2632408416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9610 (or 9596 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2632408416 is about 51307.0016274582. The cubic root of 2632408416 is about 1380.7585999268.

The spelling of 2632408416 in words is "two billion, six hundred thirty-two million, four hundred eight thousand, four hundred sixteen".