2085293952 has 384 divisors, whose sum is σ = 7316337600. Its totient is φ = 557383680.

The previous prime is 2085293921. The next prime is 2085293971. The reversal of 2085293952 is 2593925802.

2085293952 is a `hidden beast` number, since 208 + 52 + 9 + 395 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2085293898 and 2085293907.

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, 8652552 + ... + 8652792.

Almost surely, 2^2085293952 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 2085293952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658168800).

2085293952 is an abundant number, since it is smaller than the sum of its proper divisors (5231043648).

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

2085293952 is a wasteful number, since it uses less digits than its factorization.

2085293952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 2085293952 is about 45665.0189094453. The cubic root of 2085293952 is about 1277.5829125252.

The spelling of 2085293952 in words is "two billion, eighty-five million, two hundred ninety-three thousand, nine hundred fifty-two".