2145676880 has 40 divisors (see below), whose sum is σ = 4995945864. Its totient is φ = 857024000.

The previous prime is 2145676849. The next prime is 2145676889. The reversal of 2145676880 is 886765412.

It can be written as a sum of positive squares in 4 ways, for example, as 1080568384 + 1065108496 = 32872^2 + 32636^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145676889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36950 + ... + 75210.

Almost surely, 2^2145676880 is an apocalyptic number.

2145676880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145676880 is an abundant number, since it is smaller than the sum of its proper divisors (2850268984).

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

2145676880 is a wasteful number, since it uses less digits than its factorization.

2145676880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38975 (or 38969 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 2145676880 is about 46321.4516180139. The cubic root of 2145676880 is about 1289.7972319159.

The spelling of 2145676880 in words is "two billion, one hundred forty-five million, six hundred seventy-six thousand, eight hundred eighty".