2632440384 has 168 divisors, whose sum is σ = 8943083968. Its totient is φ = 752094720.

The previous prime is 2632440373. The next prime is 2632440389. The reversal of 2632440384 is 4830442362.

2632440384 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

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 (2632440389) 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, 96774 + ... + 120954.

Almost surely, 2^2632440384 is an apocalyptic number.

2632440384 is a gapful number since it is divisible by the number (24) 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 2632440384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471541984).

2632440384 is an abundant number, since it is smaller than the sum of its proper divisors (6310643584).

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

2632440384 is an equidigital number, since it uses as much as digits as its factorization.

2632440384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24215 (or 24193 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2632440384 is about 51307.3131629400. The cubic root of 2632440384 is about 1380.7641892206.

The spelling of 2632440384 in words is "two billion, six hundred thirty-two million, four hundred forty thousand, three hundred eighty-four".