2567670480 has 480 divisors, whose sum is σ = 9660238848. Its totient is φ = 608256000.

The previous prime is 2567670461. The next prime is 2567670509. The reversal of 2567670480 is 840767652.

2567670480 is a `hidden beast` number, since 2 + 567 + 6 + 7 + 0 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25422430 + ... + 25422530.

Almost surely, 2^2567670480 is an apocalyptic number.

2567670480 is a gapful number since it is divisible by the number (20) 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 2567670480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830119424).

2567670480 is an abundant number, since it is smaller than the sum of its proper divisors (7092568368).

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

2567670480 is a wasteful number, since it uses less digits than its factorization.

2567670480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2567670480 is about 50672.1864537144. The cubic root of 2567670480 is about 1369.3456800481.

The spelling of 2567670480 in words is "two billion, five hundred sixty-seven million, six hundred seventy thousand, four hundred eighty".