2401058688 has 256 divisors, whose sum is σ = 7727063040. Its totient is φ = 645765120.

The previous prime is 2401058663. The next prime is 2401058713. The reversal of 2401058688 is 8868501042.

2401058688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2401058663) and next prime (2401058713).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4389231 + ... + 4389777.

It is an arithmetic number, because the mean of its divisors is an integer number (30183840).

Almost surely, 2^2401058688 is an apocalyptic number.

2401058688 is a gapful number since it is divisible by the number (28) 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 2401058688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863531520).

2401058688 is an abundant number, since it is smaller than the sum of its proper divisors (5326004352).

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

2401058688 is a wasteful number, since it uses less digits than its factorization.

2401058688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 2401058688 is about 49000.5988534834. The cubic root of 2401058688 is about 1339.0627380661.

The spelling of 2401058688 in words is "two billion, four hundred one million, fifty-eight thousand, six hundred eighty-eight".