2421142032 has 160 divisors (see below), whose sum is σ = 6749568000. Its totient is φ = 745597440.

The previous prime is 2421142001. The next prime is 2421142079. The reversal of 2421142032 is 2302411242.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9000394 + ... + 9000662.

It is an arithmetic number, because the mean of its divisors is an integer number (42184800).

Almost surely, 2^2421142032 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 2421142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374784000).

2421142032 is an abundant number, since it is smaller than the sum of its proper divisors (4328425968).

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

2421142032 is a wasteful number, since it uses less digits than its factorization.

2421142032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2421142032 is about 49205.1016867154. The cubic root of 2421142032 is about 1342.7858489904.

Adding to 2421142032 its reverse (2302411242), we get a palindrome (4723553274).

It can be divided in two parts, 2421 and 142032, that added together give a triangular number (144453 = T₅₃₇).

The spelling of 2421142032 in words is "two billion, four hundred twenty-one million, one hundred forty-two thousand, thirty-two".