2780764320 has 192 divisors, whose sum is σ = 9068371200. Its totient is φ = 715776000.

The previous prime is 2780764319. The next prime is 2780764321. The reversal of 2780764320 is 234670872.

It is an interprime number because it is at equal distance from previous prime (2780764319) and next prime (2780764321).

It is a super-3 number, since 3×2780764320³ (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2780764321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1986981 + ... + 1988379.

It is an arithmetic number, because the mean of its divisors is an integer number (47231100).

Almost surely, 2^2780764320 is an apocalyptic number.

2780764320 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 2780764320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534185600).

2780764320 is an abundant number, since it is smaller than the sum of its proper divisors (6287606880).

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

2780764320 is a wasteful number, since it uses less digits than its factorization.

2780764320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 2780764320 is about 52732.9528852690. The cubic root of 2780764320 is about 1406.2247178467.

The spelling of 2780764320 in words is "two billion, seven hundred eighty million, seven hundred sixty-four thousand, three hundred twenty".