2404949624100 has 135 divisors (see below), whose sum is σ = 7796349038401. Its totient is φ = 641282680800.

The previous prime is 2404949624083. The next prime is 2404949624101. The reversal of 2404949624100 is 14269494042.

The square root of 2404949624100 is 1550790.

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

2404949624100 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 9 + 4 + 9 + 624 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 865781864676 + 1539167759424 = 930474^2 + 1240632^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2404949624101) 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 44 ways as a sum of consecutive naturals, for example, 139562485 + ... + 139579715.

Almost surely, 2^{2404949624100} is an apocalyptic number.

2404949624100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2404949624100 is the 1550790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404949624100

2404949624100 is an abundant number, since it is smaller than the sum of its proper divisors (5391399414301).

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

2404949624100 is an frugal number, since it uses more digits than its factorization.

2404949624100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34488 (or 17241 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2404949624100 in words is "two trillion, four hundred four billion, nine hundred forty-nine million, six hundred twenty-four thousand, one hundred".