2142137816 has 64 divisors (see below), whose sum is σ = 4954521600. Its totient is φ = 845532288.

The previous prime is 2142137813. The next prime is 2142137849. The reversal of 2142137816 is 6187312412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142137813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345641 + ... + 351783.

It is an arithmetic number, because the mean of its divisors is an integer number (77414400).

Almost surely, 2^2142137816 is an apocalyptic number.

2142137816 is a gapful number since it is divisible by the number (26) 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 2142137816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477260800).

2142137816 is an abundant number, since it is smaller than the sum of its proper divisors (2812383784).

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

2142137816 is a wasteful number, since it uses less digits than its factorization.

2142137816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6648 (or 6644 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 2142137816 is about 46283.2347184161. The cubic root of 2142137816 is about 1289.0877142585.

The spelling of 2142137816 in words is "two billion, one hundred forty-two million, one hundred thirty-seven thousand, eight hundred sixteen".