2090684960 has 288 divisors, whose sum is σ = 6294706992. Its totient is φ = 650280960.

The previous prime is 2090684933. The next prime is 2090685013. The reversal of 2090684960 is 694860902.

It can be written as a sum of positive squares in 8 ways, for example, as 751417744 + 1339267216 = 27412^2 + 36596^2 .

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, 7440020 + ... + 7440300.

Almost surely, 2^2090684960 is an apocalyptic number.

2090684960 is a gapful number since it is divisible by the number (20) 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 2090684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147353496).

2090684960 is an abundant number, since it is smaller than the sum of its proper divisors (4204022032).

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

2090684960 is a wasteful number, since it uses less digits than its factorization.

2090684960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 2090684960 is about 45724.0085731774. The cubic root of 2090684960 is about 1278.6829225797.

The spelling of 2090684960 in words is "two billion, ninety million, six hundred eighty-four thousand, nine hundred sixty".