2785590000 has 500 divisors, whose sum is σ = 10663492840. Its totient is φ = 699840000.

The previous prime is 2785589993. The next prime is 2785590001. The reversal of 2785590000 is 955872.

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2785590001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 15389910 + ... + 15390090.

Almost surely, 2^2785590000 is an apocalyptic number.

2785590000 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 2785590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331746420).

2785590000 is an abundant number, since it is smaller than the sum of its proper divisors (7877902840).

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

2785590000 is a wasteful number, since it uses less digits than its factorization.

2785590000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 2785590000 is about 52778.6888810247. The cubic root of 2785590000 is about 1407.0376920358.

It can be divided in two parts, 27855 and 90000, that added together give a triangular number (117855 = T₄₈₅).

The spelling of 2785590000 in words is "two billion, seven hundred eighty-five million, five hundred ninety thousand".