2671025280 has 768 divisors, whose sum is σ = 11302416000. Its totient is φ = 529858560.

The previous prime is 2671025257. The next prime is 2671025333. The reversal of 2671025280 is 825201762.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30011476 + ... + 30011564.

Almost surely, 2^2671025280 is an apocalyptic number.

2671025280 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 2671025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651208000).

2671025280 is an abundant number, since it is smaller than the sum of its proper divisors (8631390720).

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

2671025280 is a wasteful number, since it uses less digits than its factorization.

2671025280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2671025280 is about 51681.9628110233. The cubic root of 2671025280 is about 1387.4776608691.

The spelling of 2671025280 in words is "two billion, six hundred seventy-one million, twenty-five thousand, two hundred eighty".