2084657652 has 144 divisors (see below), whose sum is σ = 6638416512. Its totient is φ = 535818240.

The previous prime is 2084657621. The next prime is 2084657681. The reversal of 2084657652 is 2567564802.

2084657652 is a `hidden beast` number, since 20 + 8 + 4 + 6 + 576 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2084657598 and 2084657607.

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, 265008 + ... + 272760.

Almost surely, 2^2084657652 is an apocalyptic number.

2084657652 is a gapful number since it is divisible by the number (22) 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 2084657652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319208256).

2084657652 is an abundant number, since it is smaller than the sum of its proper divisors (4553758860).

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

2084657652 is a wasteful number, since it uses less digits than its factorization.

2084657652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7878 (or 7873 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2084657652 is about 45658.0513381813. The cubic root of 2084657652 is about 1277.4529534364.

The spelling of 2084657652 in words is "two billion, eighty-four million, six hundred fifty-seven thousand, six hundred fifty-two".