2138476032 has 640 divisors, whose sum is σ = 8249472000. Its totient is φ = 541900800.

The previous prime is 2138476031. The next prime is 2138476033. The reversal of 2138476032 is 2306748312.

It is a happy number.

2138476032 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 47 + 603 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2138476031) and next prime (2138476033).

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 (2138476031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52157932 + ... + 52157972.

It is an arithmetic number, because the mean of its divisors is an integer number (12889800).

Almost surely, 2^2138476032 is an apocalyptic number.

2138476032 is a gapful number since it is divisible by the number (22) 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 2138476032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124736000).

2138476032 is an abundant number, since it is smaller than the sum of its proper divisors (6110995968).

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

2138476032 is an equidigital number, since it uses as much as digits as its factorization.

2138476032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2138476032 is about 46243.6593707721. The cubic root of 2138476032 is about 1288.3527704156.

The spelling of 2138476032 in words is "two billion, one hundred thirty-eight million, four hundred seventy-six thousand, thirty-two".