2780595840 has 384 divisors, whose sum is σ = 10063776960. Its totient is φ = 647577600.

The previous prime is 2780595827. The next prime is 2780595847. The reversal of 2780595840 is 485950872.

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

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 2780595840.

It is not an unprimeable number, because it can be changed into a prime (2780595847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20296252 + ... + 20296388.

Almost surely, 2^2780595840 is an apocalyptic number.

2780595840 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 2780595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031888480).

2780595840 is an abundant number, since it is smaller than the sum of its proper divisors (7283181120).

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

2780595840 is a wasteful number, since it uses less digits than its factorization.

2780595840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 2780595840 is about 52731.3553779912. The cubic root of 2780595840 is about 1406.1963173186.

The spelling of 2780595840 in words is "two billion, seven hundred eighty million, five hundred ninety-five thousand, eight hundred forty".