2401011142260 has 96 divisors (see below), whose sum is σ = 6775338528000. Its totient is φ = 635278325760.

The previous prime is 2401011142249. The next prime is 2401011142303. The reversal of 2401011142260 is 622411101042.

2401011142260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2401011142260.

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, 8069740 + ... + 8361980.

It is an arithmetic number, because the mean of its divisors is an integer number (70576443000).

Almost surely, 2^{2401011142260} is an apocalyptic number.

2401011142260 is a gapful number since it is divisible by the number (20) 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 2401011142260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387669264000).

2401011142260 is an abundant number, since it is smaller than the sum of its proper divisors (4374327385740).

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

2401011142260 is a wasteful number, since it uses less digits than its factorization.

2401011142260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293321 (or 293319 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 2401011142260 in words is "two trillion, four hundred one billion, eleven million, one hundred forty-two thousand, two hundred sixty".