2493209420100 has 729 divisors, whose sum is σ = 9307306464183. Its totient is φ = 556612922880.

The previous prime is 2493209420077. The next prime is 2493209420243. The reversal of 2493209420100 is 10249023942.

The square root of 2493209420100 is 1578990.

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

2493209420100 is a `hidden beast` number, since 2 + 49 + 320 + 94 + 201 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13642707204 + 2479566712896 = 116802^2 + 1574664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 242 ways as a sum of consecutive naturals, for example, 24205916649 + ... + 24205916751.

Almost surely, 2^{2493209420100} is an apocalyptic number.

2493209420100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2493209420100 is the 1578990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2493209420100

2493209420100 is an abundant number, since it is smaller than the sum of its proper divisors (6814097044083).

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

2493209420100 is a wasteful number, since it uses less digits than its factorization.

2493209420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 2493209420100 by its sum of digits (36), we get a square (89755539123600 = 9473940²).

2493209420100 divided by its sum of digits (36) gives a square (69255817225 = 263165²).

The spelling of 2493209420100 in words is "two trillion, four hundred ninety-three billion, two hundred nine million, four hundred twenty thousand, one hundred".