2671878125 has 36 divisors (see below), whose sum is σ = 3885102900. Its totient is φ = 1832040000.

The previous prime is 2671878073. The next prime is 2671878133. The reversal of 2671878125 is 5218781762.

It can be written as a sum of positive squares in 6 ways, for example, as 1335683209 + 1336194916 = 36547^2 + 36554^2 .

It is not a de Polignac number, because 2671878125 - 2¹⁴ = 2671861741 is a prime.

It is a super-3 number, since 3×2671878125³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2671878125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144401 + ... + 161849.

It is an arithmetic number, because the mean of its divisors is an integer number (107919525).

Almost surely, 2^2671878125 is an apocalyptic number.

2671878125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2671878125 is a deficient number, since it is larger than the sum of its proper divisors (1213224775).

2671878125 is an frugal number, since it uses more digits than its factorization.

2671878125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17488 (or 17461 counting only the distinct ones).

The product of its digits is 376320, while the sum is 47.

The square root of 2671878125 is about 51690.2130485066. The cubic root of 2671878125 is about 1387.6253167120.

It can be divided in two parts, 26718781 and 25, that multiplied together give a triangular number (667969525 = T₃₆₅₅₀).

The spelling of 2671878125 in words is "two billion, six hundred seventy-one million, eight hundred seventy-eight thousand, one hundred twenty-five".