2249129360 has 160 divisors (see below), whose sum is σ = 5616402432. Its totient is φ = 836075520.

The previous prime is 2249129357. The next prime is 2249129381. The reversal of 2249129360 is 639219422.

It is a happy number.

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, 11653424 + ... + 11653616.

Almost surely, 2^2249129360 is an apocalyptic number.

2249129360 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 2249129360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808201216).

2249129360 is an abundant number, since it is smaller than the sum of its proper divisors (3367273072).

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

2249129360 is a wasteful number, since it uses less digits than its factorization.

2249129360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 2249129360 is about 47424.9866631505. The cubic root of 2249129360 is about 1310.2016588337.

The spelling of 2249129360 in words is "two billion, two hundred forty-nine million, one hundred twenty-nine thousand, three hundred sixty".