2378632032 has 288 divisors, whose sum is σ = 8261180928. Its totient is φ = 634411008.

The previous prime is 2378632019. The next prime is 2378632037. The reversal of 2378632032 is 2302368732.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2378632037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1993228 + ... + 1994420.

It is an arithmetic number, because the mean of its divisors is an integer number (28684656).

Almost surely, 2^2378632032 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 2378632032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130590464).

2378632032 is an abundant number, since it is smaller than the sum of its proper divisors (5882548896).

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

2378632032 is a wasteful number, since it uses less digits than its factorization.

2378632032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2378632032 is about 48771.2213503004. The cubic root of 2378632032 is about 1334.8805986718.

The spelling of 2378632032 in words is "two billion, three hundred seventy-eight million, six hundred thirty-two thousand, thirty-two".