2671495680 has 480 divisors, whose sum is σ = 10300055040. Its totient is φ = 588349440.

The previous prime is 2671495667. The next prime is 2671495681. The reversal of 2671495680 is 865941762.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671495681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11665806 + ... + 11666034.

It is an arithmetic number, because the mean of its divisors is an integer number (21458448).

Almost surely, 2^2671495680 is an apocalyptic number.

2671495680 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 2671495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150027520).

2671495680 is an abundant number, since it is smaller than the sum of its proper divisors (7628559360).

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

2671495680 is a wasteful number, since it uses less digits than its factorization.

2671495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 2671495680 is about 51686.5135214207. The cubic root of 2671495680 is about 1387.5591066453.

The spelling of 2671495680 in words is "two billion, six hundred seventy-one million, four hundred ninety-five thousand, six hundred eighty".