2442839040 has 352 divisors, whose sum is σ = 8913784320. Its totient is φ = 634060800.

The previous prime is 2442839033. The next prime is 2442839051. The reversal of 2442839040 is 409382442.

2442839040 is a `hidden beast` number, since 244 + 28 + 390 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2442838986 and 2442839004.

It is a congruent number.

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, 5667625 + ... + 5668055.

Almost surely, 2^2442839040 is an apocalyptic number.

2442839040 is a gapful number since it is divisible by the number (20) 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 2442839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456892160).

2442839040 is an abundant number, since it is smaller than the sum of its proper divisors (6470945280).

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

2442839040 is a wasteful number, since it uses less digits than its factorization.

2442839040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2442839040 is about 49425.0851289100. The cubic root of 2442839040 is about 1346.7850411688.

The spelling of 2442839040 in words is "two billion, four hundred forty-two million, eight hundred thirty-nine thousand, forty".