2082224640 has 160 divisors (see below), whose sum is σ = 6708588480. Its totient is φ = 550928384.

The previous prime is 2082224623. The next prime is 2082224657. The reversal of 2082224640 is 464222802.

It is an interprime number because it is at equal distance from previous prime (2082224623) and next prime (2082224657).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2082224598 and 2082224607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1051171 + ... + 1053149.

It is an arithmetic number, because the mean of its divisors is an integer number (41928678).

Almost surely, 2^2082224640 is an apocalyptic number.

2082224640 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 2082224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354294240).

2082224640 is an abundant number, since it is smaller than the sum of its proper divisors (4626363840).

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

2082224640 is a wasteful number, since it uses less digits than its factorization.

2082224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 2082224640 is about 45631.3997155467. The cubic root of 2082224640 is about 1276.9557865452.

The spelling of 2082224640 in words is "two billion, eighty-two million, two hundred twenty-four thousand, six hundred forty".