2084658264 has 288 divisors, whose sum is σ = 6577459200. Its totient is φ = 594397440.

The previous prime is 2084658263. The next prime is 2084658293. The reversal of 2084658264 is 4628564802.

2084658264 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 6 + 582 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084658263) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16414569 + ... + 16414695.

It is an arithmetic number, because the mean of its divisors is an integer number (22838400).

Almost surely, 2^2084658264 is an apocalyptic number.

2084658264 is a gapful number since it is divisible by the number (24) 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 2084658264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288729600).

2084658264 is an abundant number, since it is smaller than the sum of its proper divisors (4492800936).

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

2084658264 is a wasteful number, since it uses less digits than its factorization.

2084658264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2084658264 is about 45658.0580401751. The cubic root of 2084658264 is about 1277.4530784451.

The spelling of 2084658264 in words is "two billion, eighty-four million, six hundred fifty-eight thousand, two hundred sixty-four".