2985742084900 has 81 divisors (see below), whose sum is σ = 6579757318449. Its totient is φ = 1176015334560.

The previous prime is 2985742084889. The next prime is 2985742084901. The reversal of 2985742084900 is 94802475892.

It is a happy number.

The square root of 2985742084900 is 1727930.

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

It can be written as a sum of positive squares in only one way, i.e., 1074867150564 + 1910874934336 = 1036758^2 + 1382344^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2985742084901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1157711811 + ... + 1157714389.

Almost surely, 2^{2985742084900} is an apocalyptic number.

2985742084900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2985742084900 is the 1727930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2985742084900

2985742084900 is an abundant number, since it is smaller than the sum of its proper divisors (3594015233549).

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

2985742084900 is an frugal number, since it uses more digits than its factorization.

2985742084900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 2985742084900 in words is "two trillion, nine hundred eighty-five billion, seven hundred forty-two million, eighty-four thousand, nine hundred".