2442615345300 has 144 divisors (see below), whose sum is σ = 7638027509952. Its totient is φ = 599119180800.

The previous prime is 2442615345299. The next prime is 2442615345349. The reversal of 2442615345300 is 35435162442.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18534 + ... + 2210333.

It is an arithmetic number, because the mean of its divisors is an integer number (53041857708).

Almost surely, 2^{2442615345300} is an apocalyptic number.

2442615345300 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 2442615345300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819013754976).

2442615345300 is an abundant number, since it is smaller than the sum of its proper divisors (5195412164652).

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

2442615345300 is a wasteful number, since it uses less digits than its factorization.

2442615345300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229178 (or 2229171 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 2442615345300 in words is "two trillion, four hundred forty-two billion, six hundred fifteen million, three hundred forty-five thousand, three hundred".