2681779320 has 384 divisors, whose sum is σ = 10360224000. Its totient is φ = 610260480.

The previous prime is 2681779313. The next prime is 2681779327. The reversal of 2681779320 is 239771862.

It is an interprime number because it is at equal distance from previous prime (2681779313) and next prime (2681779327).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681779327) 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, 24603426 + ... + 24603534.

It is an arithmetic number, because the mean of its divisors is an integer number (26979750).

Almost surely, 2^2681779320 is an apocalyptic number.

2681779320 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 2681779320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180112000).

2681779320 is an abundant number, since it is smaller than the sum of its proper divisors (7678444680).

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

2681779320 is a wasteful number, since it uses less digits than its factorization.

2681779320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2681779320 is about 51785.8988528731. The cubic root of 2681779320 is about 1389.3372476679.

The spelling of 2681779320 in words is "two billion, six hundred eighty-one million, seven hundred seventy-nine thousand, three hundred twenty".