2042311680 has 528 divisors, whose sum is σ = 7725279744. Its totient is φ = 497418240.

The previous prime is 2042311673. The next prime is 2042311709. The reversal of 2042311680 is 861132402.

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, 43453417 + ... + 43453463.

Almost surely, 2^2042311680 is an apocalyptic number.

2042311680 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 2042311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862639872).

2042311680 is an abundant number, since it is smaller than the sum of its proper divisors (5682968064).

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

2042311680 is a wasteful number, since it uses less digits than its factorization.

2042311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2042311680 is about 45191.9426446795. The cubic root of 2042311680 is about 1268.7440163113.

The spelling of 2042311680 in words is "two billion, forty-two million, three hundred eleven thousand, six hundred eighty".