2401101024 has 96 divisors (see below), whose sum is σ = 7290259200. Its totient is φ = 677747712.

The previous prime is 2401101019. The next prime is 2401101067. The reversal of 2401101024 is 4201011042.

2401101024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2401101024² = 11530572254907697152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2401100994 and 2401101012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34252 + ... + 77300.

It is an arithmetic number, because the mean of its divisors is an integer number (75940200).

Almost surely, 2^2401101024 is an apocalyptic number.

2401101024 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 2401101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645129600).

2401101024 is an abundant number, since it is smaller than the sum of its proper divisors (4889158176).

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

2401101024 is a wasteful number, since it uses less digits than its factorization.

2401101024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43152 (or 43144 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2401101024 is about 49001.0308462996. The cubic root of 2401101024 is about 1339.0706082370.

Adding to 2401101024 its reverse (4201011042), we get a palindrome (6602112066).

The spelling of 2401101024 in words is "two billion, four hundred one million, one hundred one thousand, twenty-four".