2084307840 has 192 divisors, whose sum is σ = 7510782240. Its totient is φ = 531615744.

The previous prime is 2084307803. The next prime is 2084307851. The reversal of 2084307840 is 487034802.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2084307795 and 2084307804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124614 + ... + 140346.

Almost surely, 2^2084307840 is an apocalyptic number.

2084307840 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 2084307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755391120).

2084307840 is an abundant number, since it is smaller than the sum of its proper divisors (5426474400).

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

2084307840 is a wasteful number, since it uses less digits than its factorization.

2084307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15781 (or 15766 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2084307840 is about 45654.2203963664. The cubic root of 2084307840 is about 1277.3814959207.

The spelling of 2084307840 in words is "two billion, eighty-four million, three hundred seven thousand, eight hundred forty".