2042492760 has 384 divisors, whose sum is σ = 8585740800. Its totient is φ = 424258560.

The previous prime is 2042492731. The next prime is 2042492783. The reversal of 2042492760 is 672942402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 747076 + ... + 749804.

It is an arithmetic number, because the mean of its divisors is an integer number (22358700).

Almost surely, 2^2042492760 is an apocalyptic number.

2042492760 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 2042492760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292870400).

2042492760 is an abundant number, since it is smaller than the sum of its proper divisors (6543248040).

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

2042492760 is a wasteful number, since it uses less digits than its factorization.

2042492760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2042492760 is about 45193.9460547538. The cubic root of 2042492760 is about 1268.7815126084.

The spelling of 2042492760 in words is "two billion, forty-two million, four hundred ninety-two thousand, seven hundred sixty".