2467887642 has 64 divisors (see below), whose sum is σ = 6144508800. Its totient is φ = 727626240.

The previous prime is 2467887623. The next prime is 2467887661.

It is a happy number.

2467887642 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2467887623) and next prime (2467887661).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34167 + ... + 78122.

It is an arithmetic number, because the mean of its divisors is an integer number (96007950).

Almost surely, 2^2467887642 is an apocalyptic number.

2467887642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2467887642 is an abundant number, since it is smaller than the sum of its proper divisors (3676621158).

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

2467887642 is a wasteful number, since it uses less digits than its factorization.

2467887642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112348 (or 112342 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 2467887642 is about 49677.8385399365. The cubic root of 2467887642 is about 1351.3726581514.

The spelling of 2467887642 in words is "two billion, four hundred sixty-seven million, eight hundred eighty-seven thousand, six hundred forty-two".