2671645520 has 40 divisors (see below), whose sum is σ = 6215528520. Its totient is φ = 1067978240.

The previous prime is 2671645519. The next prime is 2671645531. The reversal of 2671645520 is 255461762.

2671645520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1236544 + 2670408976 = 1112^2 + 51676^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126950 + ... + 146490.

It is an arithmetic number, because the mean of its divisors is an integer number (155388213).

Almost surely, 2^2671645520 is an apocalyptic number.

2671645520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2671645520 is an abundant number, since it is smaller than the sum of its proper divisors (3543883000).

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

2671645520 is a wasteful number, since it uses less digits than its factorization.

2671645520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21263 (or 21257 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 2671645520 is about 51687.9630088089. The cubic root of 2671645520 is about 1387.5850481645.

The spelling of 2671645520 in words is "two billion, six hundred seventy-one million, six hundred forty-five thousand, five hundred twenty".