2785953960 has 128 divisors (see below), whose sum is σ = 9404352000. Its totient is φ = 733494528.

The previous prime is 2785953949. The next prime is 2785953979. The reversal of 2785953960 is 693595872.

2785953960 is a `hidden beast` number, since 27 + 85 + 9 + 539 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 2785953897 and 2785953906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68994 + ... + 101646.

It is an arithmetic number, because the mean of its divisors is an integer number (73471500).

Almost surely, 2^2785953960 is an apocalyptic number.

2785953960 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 2785953960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702176000).

2785953960 is an abundant number, since it is smaller than the sum of its proper divisors (6618398040).

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

2785953960 is a wasteful number, since it uses less digits than its factorization.

2785953960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32752 (or 32742 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 2785953960 is about 52782.1367509880. The cubic root of 2785953960 is about 1407.0989696750.

The spelling of 2785953960 in words is "two billion, seven hundred eighty-five million, nine hundred fifty-three thousand, nine hundred sixty".