249077458242 has 32 divisors (see below), whose sum is σ = 556403420160. Its totient is φ = 82591125840.

The previous prime is 249077458219. The next prime is 249077458249. The reversal of 249077458242 is 242854770942.

249077458242 is a `hidden beast` number, since 2 + 490 + 7 + 74 + 5 + 82 + 4 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (249077458249) 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, 12064413 + ... + 12085040.

It is an arithmetic number, because the mean of its divisors is an integer number (17387606880).

Almost surely, 2^249077458242 is an apocalyptic number.

249077458242 is an abundant number, since it is smaller than the sum of its proper divisors (307325961918).

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

249077458242 is a wasteful number, since it uses less digits than its factorization.

249077458242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24149655 (or 24149649 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 249077458242 in words is "two hundred forty-nine billion, seventy-seven million, four hundred fifty-eight thousand, two hundred forty-two".