2139141312 has 560 divisors, whose sum is σ = 8284902912. Its totient is φ = 529182720.

The previous prime is 2139141311. The next prime is 2139141343. The reversal of 2139141312 is 2131419312.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (2139141311) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9180748 + ... + 9180980.

Almost surely, 2^2139141312 is an apocalyptic number.

2139141312 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 2139141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142451456).

2139141312 is an abundant number, since it is smaller than the sum of its proper divisors (6145761600).

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

2139141312 is a wasteful number, since it uses less digits than its factorization.

2139141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 279 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2139141312 is about 46250.8520137738. The cubic root of 2139141312 is about 1288.4863587671.

The spelling of 2139141312 in words is "two billion, one hundred thirty-nine million, one hundred forty-one thousand, three hundred twelve".