2042761600000 has 528 divisors, whose sum is σ = 5623260838272. Its totient is φ = 735488000000.

The previous prime is 2042761599953. The next prime is 2042761600013. The reversal of 2042761600000 is 61672402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4611199779 + ... + 4611200221.

It is an arithmetic number, because the mean of its divisors is an integer number (10650115224).

Almost surely, 2^{2042761600000} is an apocalyptic number.

2042761600000 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 2042761600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811630419136).

2042761600000 is an abundant number, since it is smaller than the sum of its proper divisors (3580499238272).

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

2042761600000 is an equidigital number, since it uses as much as digits as its factorization.

2042761600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 2042761600000 in words is "two trillion, forty-two billion, seven hundred sixty-one million, six hundred thousand".