2401648704 has 336 divisors, whose sum is σ = 8791456128. Its totient is φ = 633028608.

The previous prime is 2401648703. The next prime is 2401648727. The reversal of 2401648704 is 4078461042.

2401648704 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 648 + 7 + 0 + 4 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401648703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1414384 + ... + 1416080.

It is an arithmetic number, because the mean of its divisors is an integer number (26165048).

Almost surely, 2^2401648704 is an apocalyptic number.

2401648704 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 2401648704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395728064).

2401648704 is an abundant number, since it is smaller than the sum of its proper divisors (6389807424).

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

2401648704 is a wasteful number, since it uses less digits than its factorization.

2401648704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2401648704 is about 49006.6189815213. The cubic root of 2401648704 is about 1339.1724124274.

The spelling of 2401648704 in words is "two billion, four hundred one million, six hundred forty-eight thousand, seven hundred four".