2042855360 has 336 divisors, whose sum is σ = 6271247808. Its totient is φ = 617103360.

The previous prime is 2042855327. The next prime is 2042855363. The reversal of 2042855360 is 635582402.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2042855360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042855363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27984284 + ... + 27984356.

It is an arithmetic number, because the mean of its divisors is an integer number (18664428).

Almost surely, 2^2042855360 is an apocalyptic number.

2042855360 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 2042855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135623904).

2042855360 is an abundant number, since it is smaller than the sum of its proper divisors (4228392448).

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

2042855360 is a wasteful number, since it uses less digits than its factorization.

2042855360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 2042855360 is about 45197.9574759745. The cubic root of 2042855360 is about 1268.8565896521.

The spelling of 2042855360 in words is "two billion, forty-two million, eight hundred fifty-five thousand, three hundred sixty".