2042996826240 has 160 divisors (see below), whose sum is σ = 7295910726060. Its totient is φ = 544799139840.

The previous prime is 2042996826197. The next prime is 2042996826251. The reversal of 2042996826240 is 426286992402.

2042996826240 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 9 + 9 + 6 + 8 + 2 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1925589174336 + 117407651904 = 1387656^2 + 342648^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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, 19652991 + ... + 19756670.

Almost surely, 2^{2042996826240} is an apocalyptic number.

2042996826240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042996826240 is an abundant number, since it is smaller than the sum of its proper divisors (5252913899820).

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

2042996826240 is an equidigital number, since it uses as much as digits as its factorization.

2042996826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39409692 (or 39409671 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 2042996826240 in words is "two trillion, forty-two billion, nine hundred ninety-six million, eight hundred twenty-six thousand, two hundred forty".