2783245432800 has 216 divisors, whose sum is σ = 10538560473336. Its totient is φ = 636170357760.

The previous prime is 2783245432783. The next prime is 2783245432817. The reversal of 2783245432800 is 82345423872.

It is an interprime number because it is at equal distance from previous prime (2783245432783) and next prime (2783245432817).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2783245432800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11715927 + ... + 11951126.

It is an arithmetic number, because the mean of its divisors is an integer number (48789631821).

Almost surely, 2^{2783245432800} is an apocalyptic number.

2783245432800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2783245432800 is an abundant number, since it is smaller than the sum of its proper divisors (7755315040536).

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

2783245432800 is a wasteful number, since it uses less digits than its factorization.

2783245432800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23667090 (or 23667070 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 2783245432800 in words is "two trillion, seven hundred eighty-three billion, two hundred forty-five million, four hundred thirty-two thousand, eight hundred".