2138632464 has 120 divisors (see below), whose sum is σ = 5798039616. Its totient is φ = 679123200.

The previous prime is 2138632459. The next prime is 2138632471. The reversal of 2138632464 is 4642368312.

It is a super-2 number, since 2×2138632464² = 9147497632149422592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 3274762 + ... + 3275414.

Almost surely, 2^2138632464 is an apocalyptic number.

2138632464 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 2138632464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899019808).

2138632464 is an abundant number, since it is smaller than the sum of its proper divisors (3659407152).

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

2138632464 is a wasteful number, since it uses less digits than its factorization.

2138632464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 760 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 2138632464 is about 46245.3507284786. The cubic root of 2138632464 is about 1288.3841844824.

The spelling of 2138632464 in words is "two billion, one hundred thirty-eight million, six hundred thirty-two thousand, four hundred sixty-four".