2671349760 has 208 divisors, whose sum is σ = 9498938880. Its totient is φ = 712212480.

The previous prime is 2671349741. The next prime is 2671349797. The reversal of 2671349760 is 679431762.

It is a super-2 number, since 2×2671349760² = 14272219080504115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550545 + ... + 555375.

Almost surely, 2^2671349760 is an apocalyptic number.

2671349760 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 2671349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749469440).

2671349760 is an abundant number, since it is smaller than the sum of its proper divisors (6827589120).

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

2671349760 is an equidigital number, since it uses as much as digits as its factorization.

2671349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4869 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2671349760 is about 51685.1019153489. The cubic root of 2671349760 is about 1387.5338428560.

The spelling of 2671349760 in words is "two billion, six hundred seventy-one million, three hundred forty-nine thousand, seven hundred sixty".