2780042304 has 336 divisors, whose sum is σ = 8757147840. Its totient is φ = 771379200.

The previous prime is 2780042303. The next prime is 2780042329. The reversal of 2780042304 is 4032400872.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2780042303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45574434 + ... + 45574494.

It is an arithmetic number, because the mean of its divisors is an integer number (26062940).

Almost surely, 2^2780042304 is an apocalyptic number.

2780042304 is a gapful number since it is divisible by the number (24) 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 2780042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378573920).

2780042304 is an abundant number, since it is smaller than the sum of its proper divisors (5977105536).

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

2780042304 is a wasteful number, since it uses less digits than its factorization.

2780042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 2780042304 is about 52726.1064748764. The cubic root of 2780042304 is about 1406.1030001561.

The spelling of 2780042304 in words is "two billion, seven hundred eighty million, forty-two thousand, three hundred four".