2082956904 has 128 divisors (see below), whose sum is σ = 6753484800. Its totient is φ = 582448320.

The previous prime is 2082956879. The next prime is 2082956957. The reversal of 2082956904 is 4096592802.

2082956904 is a `hidden beast` number, since 2 + 0 + 82 + 9 + 569 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2082956904.

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, 56409 + ... + 85719.

It is an arithmetic number, because the mean of its divisors is an integer number (52761600).

Almost surely, 2^2082956904 is an apocalyptic number.

2082956904 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 2082956904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376742400).

2082956904 is an abundant number, since it is smaller than the sum of its proper divisors (4670527896).

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

2082956904 is a wasteful number, since it uses less digits than its factorization.

2082956904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29380 (or 29370 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2082956904 is about 45639.4226957353. The cubic root of 2082956904 is about 1277.1054596628.

The spelling of 2082956904 in words is "two billion, eighty-two million, nine hundred fifty-six thousand, nine hundred four".