2084577640 has 64 divisors (see below), whose sum is σ = 4855656960. Its totient is φ = 804591360.

The previous prime is 2084577631. The next prime is 2084577641. The reversal of 2084577640 is 467754802.

It is not an unprimeable number, because it can be changed into a prime (2084577641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460267 + ... + 464773.

It is an arithmetic number, because the mean of its divisors is an integer number (75869640).

Almost surely, 2^2084577640 is an apocalyptic number.

2084577640 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 2084577640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427828480).

2084577640 is an abundant number, since it is smaller than the sum of its proper divisors (2771079320).

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

2084577640 is a wasteful number, since it uses less digits than its factorization.

2084577640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

The square root of 2084577640 is about 45657.1751206752. The cubic root of 2084577640 is about 1277.4366097659.

The spelling of 2084577640 in words is "two billion, eighty-four million, five hundred seventy-seven thousand, six hundred forty".