2679382368 has 192 divisors, whose sum is σ = 8477784000. Its totient is φ = 818380800.

The previous prime is 2679382333. The next prime is 2679382457. The reversal of 2679382368 is 8632839762.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1672768 + ... + 1674368.

It is an arithmetic number, because the mean of its divisors is an integer number (44155125).

Almost surely, 2^2679382368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2679382368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238892000).

2679382368 is an abundant number, since it is smaller than the sum of its proper divisors (5798401632).

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

2679382368 is a wasteful number, since it uses less digits than its factorization.

2679382368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1768 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 2679382368 is about 51762.7507769825. The cubic root of 2679382368 is about 1388.9231982688.

The spelling of 2679382368 in words is "two billion, six hundred seventy-nine million, three hundred eighty-two thousand, three hundred sixty-eight".