2781964800 has 720 divisors, whose sum is σ = 11081790720. Its totient is φ = 663552000.

The previous prime is 2781964763. The next prime is 2781964807. The reversal of 2781964800 is 84691872.

2781964800 is a `hidden beast` number, since 2 + 7 + 81 + 96 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2781964807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67852780 + ... + 67852820.

It is an arithmetic number, because the mean of its divisors is an integer number (15391376).

Almost surely, 2^2781964800 is an apocalyptic number.

2781964800 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 2781964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540895360).

2781964800 is an abundant number, since it is smaller than the sum of its proper divisors (8299825920).

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

2781964800 is a wasteful number, since it uses less digits than its factorization.

2781964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2781964800 is about 52744.3342928887. The cubic root of 2781964800 is about 1406.4270485233.

The spelling of 2781964800 in words is "two billion, seven hundred eighty-one million, nine hundred sixty-four thousand, eight hundred".