2993211408100 has 81 divisors (see below), whose sum is σ = 6900496414833. Its totient is φ = 1126745333760.

The previous prime is 2993211408059. The next prime is 2993211408101. The reversal of 2993211408100 is 18041123992.

It is a happy number.

The square root of 2993211408100 is 1730090.

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

It can be written as a sum of positive squares in 13 ways, for example, as 616705513636 + 2376505894464 = 785306^2 + 1541592^2 .

It is a super-2 number, since 2×2993211408100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2993211408101) 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, 294110212 + ... + 294120388.

Almost surely, 2^{2993211408100} is an apocalyptic number.

2993211408100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2993211408100 is the 1730090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2993211408100

2993211408100 is an abundant number, since it is smaller than the sum of its proper divisors (3907285006733).

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

2993211408100 is an equidigital number, since it uses as much as digits as its factorization.

2993211408100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20402 (or 10201 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 2993211408100 in words is "two trillion, nine hundred ninety-three billion, two hundred eleven million, four hundred eight thousand, one hundred".