2671958880 has 96 divisors (see below), whose sum is σ = 9351871200. Its totient is φ = 712521216.

The previous prime is 2671958879. The next prime is 2671958881. The reversal of 2671958880 is 888591762.

2671958880 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 an interprime number because it is at equal distance from previous prime (2671958879) and next prime (2671958881).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671958881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304935 + ... + 313574.

It is an arithmetic number, because the mean of its divisors is an integer number (97415325).

Almost surely, 2^2671958880 is an apocalyptic number.

2671958880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2671958880 is an abundant number, since it is smaller than the sum of its proper divisors (6679912320).

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

2671958880 is a wasteful number, since it uses less digits than its factorization.

2671958880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618533 (or 618519 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 2671958880 is about 51690.9941866086. The cubic root of 2671958880 is about 1387.6392964606.

The spelling of 2671958880 in words is "two billion, six hundred seventy-one million, nine hundred fifty-eight thousand, eight hundred eighty".