2084311040 has 312 divisors, whose sum is σ = 6095676672. Its totient is φ = 681246720.

The previous prime is 2084310989. The next prime is 2084311051. The reversal of 2084311040 is 401134802.

It is a super-2 number, since 2×2084311040² = 8688705022931763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2084310997 and 2084311015.

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, 31109087 + ... + 31109153.

Almost surely, 2^2084311040 is an apocalyptic number.

2084311040 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 2084311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047838336).

2084311040 is an abundant number, since it is smaller than the sum of its proper divisors (4011365632).

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

2084311040 is an equidigital number, since it uses as much as digits as its factorization.

2084311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2084311040 is about 45654.2554424010. The cubic root of 2084311040 is about 1277.3821496340.

Adding to 2084311040 its reverse (401134802), we get a palindrome (2485445842).

The spelling of 2084311040 in words is "two billion, eighty-four million, three hundred eleven thousand, forty".