2331942784900 has 81 divisors (see below), whose sum is σ = 5127834076911. Its totient is φ = 920493362880.

The previous prime is 2331942784861. The next prime is 2331942784907. The reversal of 2331942784900 is 94872491332.

The square root of 2331942784900 is 1527070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4340964996 + 2327601819904 = 65886^2 + 1525648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2331942784907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1206384334 + ... + 1206386266.

Almost surely, 2^{2331942784900} is an apocalyptic number.

2331942784900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2331942784900 is the 1527070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2331942784900

2331942784900 is an abundant number, since it is smaller than the sum of its proper divisors (2795891292011).

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

2331942784900 is an frugal number, since it uses more digits than its factorization.

2331942784900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4038 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 2331942784900 in words is "two trillion, three hundred thirty-one billion, nine hundred forty-two million, seven hundred eighty-four thousand, nine hundred".