2863920640 has 360 divisors, whose sum is σ = 8592708960. Its totient is φ = 912457728.

The previous prime is 2863920637. The next prime is 2863920677. The reversal of 2863920640 is 460293682.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2863920593 and 2863920602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36252121 + ... + 36252199.

It is an arithmetic number, because the mean of its divisors is an integer number (23868636).

Almost surely, 2^2863920640 is an apocalyptic number.

2863920640 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 2863920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296354480).

2863920640 is an abundant number, since it is smaller than the sum of its proper divisors (5728788320).

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

2863920640 is an equidigital number, since it uses as much as digits as its factorization.

2863920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 2863920640 is about 53515.6111802902. The cubic root of 2863920640 is about 1420.1045747226.

The spelling of 2863920640 in words is "two billion, eight hundred sixty-three million, nine hundred twenty thousand, six hundred forty".