2671485264 has 480 divisors, whose sum is σ = 9626812416. Its totient is φ = 674058240.

The previous prime is 2671485239. The next prime is 2671485347. The reversal of 2671485264 is 4625841762.

2671485264 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24967099 + ... + 24967205.

Almost surely, 2^2671485264 is an apocalyptic number.

2671485264 is a gapful number since it is divisible by the number (24) 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 2671485264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813406208).

2671485264 is an abundant number, since it is smaller than the sum of its proper divisors (6955327152).

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

2671485264 is a wasteful number, since it uses less digits than its factorization.

2671485264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 214 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2671485264 is about 51686.4127600281. The cubic root of 2671485264 is about 1387.5573033066.

The spelling of 2671485264 in words is "two billion, six hundred seventy-one million, four hundred eighty-five thousand, two hundred sixty-four".