2405962944 has 336 divisors, whose sum is σ = 9106546176. Its totient is φ = 587980800.

The previous prime is 2405962921. The next prime is 2405962969. The reversal of 2405962944 is 4492695042.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2405962944² = 11577315375802294272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2405962944.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 752389 + ... + 755579.

It is an arithmetic number, because the mean of its divisors is an integer number (27102816).

Almost surely, 2^2405962944 is an apocalyptic number.

2405962944 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 2405962944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553273088).

2405962944 is an abundant number, since it is smaller than the sum of its proper divisors (6700583232).

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

2405962944 is a wasteful number, since it uses less digits than its factorization.

2405962944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2405962944 is about 49050.6161429191. The cubic root of 2405962944 is about 1339.9738139978.

The spelling of 2405962944 in words is "two billion, four hundred five million, nine hundred sixty-two thousand, nine hundred forty-four".