2779687680 has 864 divisors, whose sum is σ = 12079549440. Its totient is φ = 536739840.

The previous prime is 2779687639. The next prime is 2779687681. The reversal of 2779687680 is 867869772.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (2779687681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35185881 + ... + 35185959.

It is an arithmetic number, because the mean of its divisors is an integer number (13980960).

Almost surely, 2^2779687680 is an apocalyptic number.

2779687680 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 2779687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039774720).

2779687680 is an abundant number, since it is smaller than the sum of its proper divisors (9299861760).

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

2779687680 is a wasteful number, since it uses less digits than its factorization.

2779687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 60.

The square root of 2779687680 is about 52722.7434794511. The cubic root of 2779687680 is about 1406.0432098101.

The spelling of 2779687680 in words is "two billion, seven hundred seventy-nine million, six hundred eighty-seven thousand, six hundred eighty".