2077582240 has 96 divisors (see below), whose sum is σ = 5217307200. Its totient is φ = 779096064.

The previous prime is 2077582237. The next prime is 2077582253. The reversal of 2077582240 is 422857702.

It is a self number, because there is not a number n which added to its sum of digits gives 2077582240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768411 + ... + 771109.

It is an arithmetic number, because the mean of its divisors is an integer number (54346950).

Almost surely, 2^2077582240 is an apocalyptic number.

2077582240 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 2077582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608653600).

2077582240 is an abundant number, since it is smaller than the sum of its proper divisors (3139724960).

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

2077582240 is a wasteful number, since it uses less digits than its factorization.

2077582240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The square root of 2077582240 is about 45580.5028493543. The cubic root of 2077582240 is about 1276.0060730246.

The spelling of 2077582240 in words is "two billion, seventy-seven million, five hundred eighty-two thousand, two hundred forty".