2432742984 has 168 divisors, whose sum is σ = 7956460710. Its totient is φ = 694987776.

The previous prime is 2432742973. The next prime is 2432743021. The reversal of 2432742984 is 4892472342.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1400406084 + 1032336900 = 37422^2 + 32130^2 .

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 281512 + ... + 290024.

Almost surely, 2^2432742984 is an apocalyptic number.

2432742984 is a gapful number since it is divisible by the number (24) 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 2432742984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978230355).

2432742984 is an abundant number, since it is smaller than the sum of its proper divisors (5523717726).

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

2432742984 is an equidigital number, since it uses as much as digits as its factorization.

2432742984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8551 (or 8525 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2432742984 is about 49322.8444435233. The cubic root of 2432742984 is about 1344.9270947156.

The spelling of 2432742984 in words is "two billion, four hundred thirty-two million, seven hundred forty-two thousand, nine hundred eighty-four".