2042313678720 has 1024 divisors, whose sum is σ = 8512812288000. Its totient is φ = 458772553728.

The previous prime is 2042313678623. The next prime is 2042313678731. The reversal of 2042313678720 is 278763132402.

2042313678720 is a `hidden beast` number, since 2 + 0 + 423 + 136 + 78 + 7 + 20 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 578066074 + ... + 578069606.

It is an arithmetic number, because the mean of its divisors is an integer number (8313293250).

Almost surely, 2^{2042313678720} is an apocalyptic number.

2042313678720 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 2042313678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256406144000).

2042313678720 is an abundant number, since it is smaller than the sum of its proper divisors (6470498609280).

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

2042313678720 is an frugal number, since it uses more digits than its factorization.

2042313678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 2042313678720 in words is "two trillion, forty-two billion, three hundred thirteen million, six hundred seventy-eight thousand, seven hundred twenty".