2077412240 has 80 divisors (see below), whose sum is σ = 5125854960. Its totient is φ = 780288000.

The previous prime is 2077412219. The next prime is 2077412261. The reversal of 2077412240 is 422147702.

It is an interprime number because it is at equal distance from previous prime (2077412219) and next prime (2077412261).

It can be written as a sum of positive squares in 8 ways, for example, as 142468096 + 1934944144 = 11936^2 + 43988^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2077412240² = 8631283229803635200, which contains 22 as substring.

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, 690740 + ... + 693740.

It is an arithmetic number, because the mean of its divisors is an integer number (64073187).

Almost surely, 2^2077412240 is an apocalyptic number.

2077412240 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 2077412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562927480).

2077412240 is an abundant number, since it is smaller than the sum of its proper divisors (3048442720).

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

2077412240 is a wasteful number, since it uses less digits than its factorization.

2077412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 29.

The square root of 2077412240 is about 45578.6379787725. The cubic root of 2077412240 is about 1275.9712686344.

Adding to 2077412240 its reverse (422147702), we get a palindrome (2499559942).

The spelling of 2077412240 in words is "two billion, seventy-seven million, four hundred twelve thousand, two hundred forty".