2866406400 has 1056 divisors, whose sum is σ = 12792931200. Its totient is φ = 619315200.

The previous prime is 2866406321. The next prime is 2866406461. The reversal of 2866406400 is 46046682.

It is a happy number.

2866406400 is a `hidden beast` number, since 2 + 8 + 6 + 6 + 4 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98841586 + ... + 98841614.

Almost surely, 2^2866406400 is an apocalyptic number.

2866406400 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 2866406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396465600).

2866406400 is an abundant number, since it is smaller than the sum of its proper divisors (9926524800).

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

2866406400 is a wasteful number, since it uses less digits than its factorization.

2866406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2866406400 is about 53538.8307679576. The cubic root of 2866406400 is about 1420.5153191503.

The spelling of 2866406400 in words is "two billion, eight hundred sixty-six million, four hundred six thousand, four hundred".