249264462942 has 64 divisors (see below), whose sum is σ = 607984945920. Its totient is φ = 75071253600.

The previous prime is 249264462901. The next prime is 249264462947.

249264462942 is a `hidden beast` number, since 2 + 4 + 9 + 2 + 6 + 4 + 4 + 629 + 4 + 2 = 666.

249264462942 is nontrivially palindromic in base 10.

249264462942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249264462947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1190409 + ... + 1384052.

It is an arithmetic number, because the mean of its divisors is an integer number (9499764780).

Almost surely, 2^249264462942 is an apocalyptic number.

249264462942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

249264462942 is an abundant number, since it is smaller than the sum of its proper divisors (358720482978).

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

249264462942 is a wasteful number, since it uses less digits than its factorization.

249264462942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574646 (or 2574640 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 249264462942 in words is "two hundred forty-nine billion, two hundred sixty-four million, four hundred sixty-two thousand, nine hundred forty-two".