2142149632 has 176 divisors, whose sum is σ = 5174947008. Its totient is φ = 867041280.

The previous prime is 2142149609. The next prime is 2142149657. The reversal of 2142149632 is 2369412412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10873758 + ... + 10873954.

It is an arithmetic number, because the mean of its divisors is an integer number (29403108).

Almost surely, 2^2142149632 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 2142149632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587473504).

2142149632 is an abundant number, since it is smaller than the sum of its proper divisors (3032797376).

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

2142149632 is a wasteful number, since it uses less digits than its factorization.

2142149632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 2142149632 is about 46283.3623670537. The cubic root of 2142149632 is about 1289.0900844503.

The spelling of 2142149632 in words is "two billion, one hundred forty-two million, one hundred forty-nine thousand, six hundred thirty-two".