2805104640 has 256 divisors, whose sum is σ = 9688694400. Its totient is φ = 688914432.

The previous prime is 2805104623. The next prime is 2805104689. The reversal of 2805104640 is 464015082.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×2805104640² = 15737224082699059200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 2805104598 and 2805104607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6389541 + ... + 6389979.

Almost surely, 2^2805104640 is an apocalyptic number.

2805104640 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 2805104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844347200).

2805104640 is an abundant number, since it is smaller than the sum of its proper divisors (6883589760).

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

2805104640 is an equidigital number, since it uses as much as digits as its factorization.

2805104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2805104640 is about 52963.2385716735. The cubic root of 2805104640 is about 1410.3157484114.

The spelling of 2805104640 in words is "two billion, eight hundred five million, one hundred four thousand, six hundred forty".