2424994090000 has 100 divisors (see below), whose sum is σ = 5872591591020. Its totient is φ = 969760000000.

The previous prime is 2424994089937. The next prime is 2424994090003. The reversal of 2424994090000 is 904994242.

It can be written as a sum of positive squares in 10 ways, for example, as 2408902660096 + 16091429904 = 1552064^2 + 126852^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (2424994090003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44062500 + ... + 44117500.

Almost surely, 2^{2424994090000} is an apocalyptic number.

2424994090000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424994090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936295795510).

2424994090000 is an abundant number, since it is smaller than the sum of its proper divisors (3447597501020).

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

2424994090000 is an equidigital number, since it uses as much as digits as its factorization.

2424994090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59438 (or 59417 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 2424994090000 in words is "two trillion, four hundred twenty-four billion, nine hundred ninety-four million, ninety thousand".