2671875000 has 240 divisors, whose sum is σ = 9521483400. Its totient is φ = 675000000.

The previous prime is 2671874999. The next prime is 2671875013. The reversal of 2671875000 is 5781762.

2671875000 is a `hidden beast` number, since 2 + 6 + 71 + 87 + 500 + 0 = 666.

2671875000 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 59 ways as a sum of consecutive naturals, for example, 140624991 + ... + 140625009.

Almost surely, 2^2671875000 is an apocalyptic number.

2671875000 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 2671875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4760741700).

2671875000 is an abundant number, since it is smaller than the sum of its proper divisors (6849608400).

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

2671875000 is an frugal number, since it uses more digits than its factorization.

2671875000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 2671875000 is about 51690.1828203383. The cubic root of 2671875000 is about 1387.6247757279.

The spelling of 2671875000 in words is "two billion, six hundred seventy-one million, eight hundred seventy-five thousand".