249029298100 has 36 divisors (see below), whose sum is σ = 589520268288. Its totient is φ = 90556108000.

The previous prime is 249029298043. The next prime is 249029298103. The reversal of 249029298100 is 1892920942.

It is a super-2 number, since 2×249029298100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249029298103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113194036 + ... + 113196235.

It is an arithmetic number, because the mean of its divisors is an integer number (16375563008).

Almost surely, 2^249029298100 is an apocalyptic number.

249029298100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249029298100 is an abundant number, since it is smaller than the sum of its proper divisors (340490970188).

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

249029298100 is a wasteful number, since it uses less digits than its factorization.

249029298100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226390296 (or 226390289 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 249029298100 in words is "two hundred forty-nine billion, twenty-nine million, two hundred ninety-eight thousand, one hundred".