2249192467260 has 288 divisors, whose sum is σ = 7348519039680. Its totient is φ = 555712819200.

The previous prime is 2249192467241. The next prime is 2249192467337. The reversal of 2249192467260 is 627642919422.

2249192467260 is a `hidden beast` number, since 2 + 2 + 4 + 91 + 92 + 467 + 2 + 6 + 0 = 666.

2249192467260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2249192467197 and 2249192467206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12969079 + ... + 13141361.

It is an arithmetic number, because the mean of its divisors is an integer number (25515691110).

Almost surely, 2^{2249192467260} is an apocalyptic number.

2249192467260 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 2249192467260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674259519840).

2249192467260 is an abundant number, since it is smaller than the sum of its proper divisors (5099326572420).

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

2249192467260 is a wasteful number, since it uses less digits than its factorization.

2249192467260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172429 (or 172424 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 2249192467260 in words is "two trillion, two hundred forty-nine billion, one hundred ninety-two million, four hundred sixty-seven thousand, two hundred sixty".