2679022080 has 640 divisors, whose sum is σ = 11195712000. Its totient is φ = 606928896.

The previous prime is 2679022079. The next prime is 2679022081. The reversal of 2679022080 is 802209762.

It is an interprime number because it is at equal distance from previous prime (2679022079) and next prime (2679022081).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2679022081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23708104 + ... + 23708216.

It is an arithmetic number, because the mean of its divisors is an integer number (17493300).

Almost surely, 2^2679022080 is an apocalyptic number.

2679022080 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 2679022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5597856000).

2679022080 is an abundant number, since it is smaller than the sum of its proper divisors (8516689920).

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

2679022080 is an equidigital number, since it uses as much as digits as its factorization.

2679022080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2679022080 is about 51759.2704739934. The cubic root of 2679022080 is about 1388.8609407875.

The spelling of 2679022080 in words is "two billion, six hundred seventy-nine million, twenty-two thousand, eighty".