2863094400 has 288 divisors, whose sum is σ = 10340214300. Its totient is φ = 754237440.

The previous prime is 2863094387. The next prime is 2863094417. The reversal of 2863094400 is 44903682.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 103063104 + 2760031296 = 10152^2 + 52536^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2863094400² = 16394619086622720000, which contains 22 as substring.

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

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, 2562642 + ... + 2563758.

Almost surely, 2^2863094400 is an apocalyptic number.

2863094400 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 2863094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170107150).

2863094400 is an abundant number, since it is smaller than the sum of its proper divisors (7477119900).

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

2863094400 is a wasteful number, since it uses less digits than its factorization.

2863094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2863094400 is about 53507.8910068412. The cubic root of 2863094400 is about 1419.9679950467.

The spelling of 2863094400 in words is "two billion, eight hundred sixty-three million, ninety-four thousand, four hundred".