2816456400 has 240 divisors, whose sum is σ = 10168456320. Its totient is φ = 740275200.

The previous prime is 2816456399. The next prime is 2816456417. The reversal of 2816456400 is 46546182.

2816456400 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 4 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 764964 + ... + 768636.

It is an arithmetic number, because the mean of its divisors is an integer number (42368568).

Almost surely, 2^2816456400 is an apocalyptic number.

2816456400 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 2816456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5084228160).

2816456400 is an abundant number, since it is smaller than the sum of its proper divisors (7351999920).

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

2816456400 is a wasteful number, since it uses less digits than its factorization.

2816456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2816456400 is about 53070.2967770108. The cubic root of 2816456400 is about 1412.2156203019.

It can be divided in two parts, 281 and 6456400, that added together give a square (6456681 = 2541²).

The spelling of 2816456400 in words is "two billion, eight hundred sixteen million, four hundred fifty-six thousand, four hundred".