2439345768900 has 144 divisors (see below), whose sum is σ = 7200028002048. Its totient is φ = 637466112000.

The previous prime is 2439345768863. The next prime is 2439345768917. The reversal of 2439345768900 is 98675439342.

2439345768900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 4713364 + ... + 5205236.

Almost surely, 2^{2439345768900} is an apocalyptic number.

2439345768900 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 2439345768900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600014001024).

2439345768900 is an abundant number, since it is smaller than the sum of its proper divisors (4760682233148).

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

2439345768900 is a wasteful number, since it uses less digits than its factorization.

2439345768900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492222 (or 492215 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 2439345768900 in words is "two trillion, four hundred thirty-nine billion, three hundred forty-five million, seven hundred sixty-eight thousand, nine hundred".