2783459798400 has 384 divisors, whose sum is σ = 9435725717760. Its totient is φ = 720667238400.

The previous prime is 2783459798333. The next prime is 2783459798459. The reversal of 2783459798400 is 48979543872.

It is a tau number, because it is divible by the number of its divisors (384).

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, 172974355 + ... + 172990445.

It is an arithmetic number, because the mean of its divisors is an integer number (24572202390).

Almost surely, 2^{2783459798400} is an apocalyptic number.

2783459798400 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 2783459798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717862858880).

2783459798400 is an abundant number, since it is smaller than the sum of its proper divisors (6652265919360).

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

2783459798400 is a wasteful number, since it uses less digits than its factorization.

2783459798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16642 (or 16625 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 66.

The spelling of 2783459798400 in words is "two trillion, seven hundred eighty-three billion, four hundred fifty-nine million, seven hundred ninety-eight thousand, four hundred".