2671746000 has 320 divisors, whose sum is σ = 10741026816. Its totient is φ = 555072000.

The previous prime is 2671745939. The next prime is 2671746001. The reversal of 2671746000 is 6471762.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671746001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 459109 + ... + 464891.

Almost surely, 2^2671746000 is an apocalyptic number.

2671746000 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 2671746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370513408).

2671746000 is an abundant number, since it is smaller than the sum of its proper divisors (8069280816).

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

2671746000 is a wasteful number, since it uses less digits than its factorization.

2671746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5827 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 2671746000 is about 51688.9349861264. The cubic root of 2671746000 is about 1387.6024435358.

The spelling of 2671746000 in words is "two billion, six hundred seventy-one million, seven hundred forty-six thousand".