2401678944 has 576 divisors, whose sum is σ = 8935557120. Its totient is φ = 623185920.

The previous prime is 2401678943. The next prime is 2401678963. The reversal of 2401678944 is 4498761042.

It is a self number, because there is not a number n which added to its sum of digits gives 2401678944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401678943) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33826429 + ... + 33826499.

It is an arithmetic number, because the mean of its divisors is an integer number (15513120).

Almost surely, 2^2401678944 is an apocalyptic number.

2401678944 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 2401678944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467778560).

2401678944 is an abundant number, since it is smaller than the sum of its proper divisors (6533878176).

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

2401678944 is a wasteful number, since it uses less digits than its factorization.

2401678944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2401678944 is about 49006.9275103021. The cubic root of 2401678944 is about 1339.1780330668.

The spelling of 2401678944 in words is "two billion, four hundred one million, six hundred seventy-eight thousand, nine hundred forty-four".