2671960500 has 384 divisors, whose sum is σ = 9938073600. Its totient is φ = 613008000.

The previous prime is 2671960433. The next prime is 2671960517. The reversal of 2671960500 is 50691762.

2671960500 is a `hidden beast` number, since 2 + 67 + 1 + 96 + 0 + 500 = 666.

2671960500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2821027 + ... + 2821973.

It is an arithmetic number, because the mean of its divisors is an integer number (25880400).

Almost surely, 2^2671960500 is an apocalyptic number.

2671960500 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 2671960500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969036800).

2671960500 is an abundant number, since it is smaller than the sum of its proper divisors (7266113100).

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

2671960500 is a wasteful number, since it uses less digits than its factorization.

2671960500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2671960500 is about 51691.0098566472. The cubic root of 2671960500 is about 1387.6395769009.

The spelling of 2671960500 in words is "two billion, six hundred seventy-one million, nine hundred sixty thousand, five hundred".