2429044992 has 162 divisors, whose sum is σ = 7698984566. Its totient is φ = 735989760.

The previous prime is 2429044979. The next prime is 2429044993. The reversal of 2429044992 is 2994409242.

It can be written as a sum of positive squares in only one way, i.e., 2411202816 + 17842176 = 49104^2 + 4224^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2429044993) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 274428 + ... + 283140.

Almost surely, 2^2429044992 is an apocalyptic number.

2429044992 is a gapful number since it is divisible by the number (22) 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 2429044992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849492283).

2429044992 is an abundant number, since it is smaller than the sum of its proper divisors (5269939574).

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

2429044992 is a wasteful number, since it uses less digits than its factorization.

2429044992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8757 (or 8729 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2429044992 is about 49285.3425675423. The cubic root of 2429044992 is about 1344.2452783635.

The spelling of 2429044992 in words is "two billion, four hundred twenty-nine million, forty-four thousand, nine hundred ninety-two".