2142334656 has 336 divisors, whose sum is σ = 7943819520. Its totient is φ = 556139520.

The previous prime is 2142334631. The next prime is 2142334687. The reversal of 2142334656 is 6564332412.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2142334656.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1196610 + ... + 1198398.

It is an arithmetic number, because the mean of its divisors is an integer number (23642320).

Almost surely, 2^2142334656 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 2142334656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971909760).

2142334656 is an abundant number, since it is smaller than the sum of its proper divisors (5801484864).

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

2142334656 is a wasteful number, since it uses less digits than its factorization.

2142334656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1812 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2142334656 is about 46285.3611415100. The cubic root of 2142334656 is about 1289.1271975964.

The spelling of 2142334656 in words is "two billion, one hundred forty-two million, three hundred thirty-four thousand, six hundred fifty-six".