2042763840 has 336 divisors, whose sum is σ = 7808976000. Its totient is φ = 502474752.

The previous prime is 2042763839. The next prime is 2042763841. The reversal of 2042763840 is 483672402.

2042763840 is a `hidden beast` number, since 2 + 0 + 4 + 276 + 384 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2042763839) and next prime (2042763841).

It is a super-3 number, since 3×2042763840³ (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2042763795 and 2042763804.

It is not an unprimeable number, because it can be changed into a prime (2042763841) 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, 1459461 + ... + 1460859.

It is an arithmetic number, because the mean of its divisors is an integer number (23241000).

Almost surely, 2^2042763840 is an apocalyptic number.

2042763840 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 2042763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904488000).

2042763840 is an abundant number, since it is smaller than the sum of its proper divisors (5766212160).

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

2042763840 is a wasteful number, since it uses less digits than its factorization.

2042763840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2042763840 is about 45196.9450295039. The cubic root of 2042763840 is about 1268.8376410942.

The spelling of 2042763840 in words is "two billion, forty-two million, seven hundred sixty-three thousand, eight hundred forty".