2142893256 has 128 divisors (see below), whose sum is σ = 6406041600. Its totient is φ = 584052480.

The previous prime is 2142893237. The next prime is 2142893257. The reversal of 2142893256 is 6523982412.

It is a super-2 number, since 2×2142893256² = 9183983013220563072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2142893257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2553685 + ... + 2554523.

It is an arithmetic number, because the mean of its divisors is an integer number (50047200).

Almost surely, 2^2142893256 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 2142893256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203020800).

2142893256 is an abundant number, since it is smaller than the sum of its proper divisors (4263148344).

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

2142893256 is a wasteful number, since it uses less digits than its factorization.

2142893256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1535 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 2142893256 is about 46291.3950535086. The cubic root of 2142893256 is about 1289.2392317382.

The spelling of 2142893256 in words is "two billion, one hundred forty-two million, eight hundred ninety-three thousand, two hundred fifty-six".