2671879680 has 240 divisors, whose sum is σ = 9364623840. Its totient is φ = 703954944.

The previous prime is 2671879673. The next prime is 2671879687. The reversal of 2671879680 is 869781762.

It is an interprime number because it is at equal distance from previous prime (2671879673) and next prime (2671879687).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×2671879680³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671879687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2049909 + ... + 2051211.

It is an arithmetic number, because the mean of its divisors is an integer number (39019266).

Almost surely, 2^2671879680 is an apocalyptic number.

2671879680 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 2671879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682311920).

2671879680 is an abundant number, since it is smaller than the sum of its proper divisors (6692744160).

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

2671879680 is a wasteful number, since it uses less digits than its factorization.

2671879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 2671879680 is about 51690.2280900365. The cubic root of 2671879680 is about 1387.6255859055.

The spelling of 2671879680 in words is "two billion, six hundred seventy-one million, eight hundred seventy-nine thousand, six hundred eighty".