2671904880 has 400 divisors, whose sum is σ = 9817657344. Its totient is φ = 672468480.

The previous prime is 2671904863. The next prime is 2671904881. The reversal of 2671904880 is 884091762.

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 (2671904881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9441219 + ... + 9441501.

Almost surely, 2^2671904880 is an apocalyptic number.

2671904880 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 2671904880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908828672).

2671904880 is an abundant number, since it is smaller than the sum of its proper divisors (7145752464).

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

2671904880 is a wasteful number, since it uses less digits than its factorization.

2671904880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2671904880 is about 51690.4718492683. The cubic root of 2671904880 is about 1387.6299483843.

The spelling of 2671904880 in words is "two billion, six hundred seventy-one million, nine hundred four thousand, eight hundred eighty".