2805246900 has 216 divisors, whose sum is σ = 9070981920. Its totient is φ = 724711680.

The previous prime is 2805246893. The next prime is 2805246901. The reversal of 2805246900 is 96425082.

It is a happy number.

It is a super-2 number, since 2×2805246900² = 15738820339919220000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2805246901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6694891 + ... + 6695309.

Almost surely, 2^2805246900 is an apocalyptic number.

2805246900 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 2805246900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535490960).

2805246900 is an abundant number, since it is smaller than the sum of its proper divisors (6265735020).

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

2805246900 is a wasteful number, since it uses less digits than its factorization.

2805246900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2805246900 is about 52964.5815616436. The cubic root of 2805246900 is about 1410.3395892483.

It can be divided in two parts, 280 and 5246900, that added together give a triangular number (5247180 = T₃₂₃₉).

The spelling of 2805246900 in words is "two billion, eight hundred five million, two hundred forty-six thousand, nine hundred".