2075636952 has 192 divisors, whose sum is σ = 6076792800. Its totient is φ = 638668800.

The previous prime is 2075636921. The next prime is 2075636957. The reversal of 2075636952 is 2596365702.

2075636952 is a `hidden beast` number, since 2 + 0 + 7 + 5 + 636 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2075636898 and 2075636907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2075636957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5175952 + ... + 5176352.

Almost surely, 2^2075636952 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 2075636952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038396400).

2075636952 is an abundant number, since it is smaller than the sum of its proper divisors (4001155848).

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

2075636952 is a wasteful number, since it uses less digits than its factorization.

2075636952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 2075636952 is about 45559.1588157639. The cubic root of 2075636952 is about 1275.6076973919.

The spelling of 2075636952 in words is "two billion, seventy-five million, six hundred thirty-six thousand, nine hundred fifty-two".