2139213648 has 320 divisors, whose sum is σ = 6999552000. Its totient is φ = 553236480.

The previous prime is 2139213631. The next prime is 2139213689. The reversal of 2139213648 is 8463129312.

It is a super-3 number, since 3×2139213648³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 6129378 + ... + 6129726.

It is an arithmetic number, because the mean of its divisors is an integer number (21873600).

Almost surely, 2^2139213648 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 2139213648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499776000).

2139213648 is an abundant number, since it is smaller than the sum of its proper divisors (4860338352).

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

2139213648 is a wasteful number, since it uses less digits than its factorization.

2139213648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 2139213648 is about 46251.6340035679. The cubic root of 2139213648 is about 1288.5008821802.

The spelling of 2139213648 in words is "two billion, one hundred thirty-nine million, two hundred thirteen thousand, six hundred forty-eight".