2785295952 has 240 divisors, whose sum is σ = 8607306240. Its totient is φ = 837838848.

The previous prime is 2785295941. The next prime is 2785295987. The reversal of 2785295952 is 2595925872.

It is a happy number.

2785295952 is a `hidden beast` number, since 27 + 8 + 5 + 29 + 595 + 2 = 666.

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, 4513948 + ... + 4514564.

It is an arithmetic number, because the mean of its divisors is an integer number (35863776).

Almost surely, 2^2785295952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2785295952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303653120).

2785295952 is an abundant number, since it is smaller than the sum of its proper divisors (5822010288).

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

2785295952 is a wasteful number, since it uses less digits than its factorization.

2785295952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 721 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The square root of 2785295952 is about 52775.9031377010. The cubic root of 2785295952 is about 1406.9881811389.

The spelling of 2785295952 in words is "two billion, seven hundred eighty-five million, two hundred ninety-five thousand, nine hundred fifty-two".