2671740500 has 288 divisors, whose sum is σ = 7157230080. Its totient is φ = 864864000.

The previous prime is 2671740433. The next prime is 2671740509. The reversal of 2671740500 is 50471762.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671740509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33819461 + ... + 33819539.

Almost surely, 2^2671740500 is an apocalyptic number.

2671740500 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 2671740500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578615040).

2671740500 is an abundant number, since it is smaller than the sum of its proper divisors (4485489580).

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

2671740500 is a wasteful number, since it uses less digits than its factorization.

2671740500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 2671740500 is about 51688.8817832230. The cubic root of 2671740500 is about 1387.6014913721.

The spelling of 2671740500 in words is "two billion, six hundred seventy-one million, seven hundred forty thousand, five hundred".