2467674560 has 112 divisors (see below), whose sum is σ = 6353690112. Its totient is φ = 907468800.

The previous prime is 2467674557. The next prime is 2467674563. The reversal of 2467674560 is 654767642.

It is an interprime number because it is at equal distance from previous prime (2467674557) and next prime (2467674563).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2467674563) 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, 1167905 + ... + 1170015.

It is an arithmetic number, because the mean of its divisors is an integer number (56729376).

Almost surely, 2^2467674560 is an apocalyptic number.

2467674560 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 2467674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176845056).

2467674560 is an abundant number, since it is smaller than the sum of its proper divisors (3886015552).

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

2467674560 is a wasteful number, since it uses less digits than its factorization.

2467674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 47.

The square root of 2467674560 is about 49675.6938552447. The cubic root of 2467674560 is about 1351.3337636907. Note that the first 3 decimals are identical.

The spelling of 2467674560 in words is "two billion, four hundred sixty-seven million, six hundred seventy-four thousand, five hundred sixty".