2280129600 has 336 divisors, whose sum is σ = 8667699200. Its totient is φ = 513976320.

The previous prime is 2280129559. The next prime is 2280129613. The reversal of 2280129600 is 69210822.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2653971 + ... + 2654829.

Almost surely, 2^2280129600 is an apocalyptic number.

2280129600 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 2280129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333849600).

2280129600 is an abundant number, since it is smaller than the sum of its proper divisors (6387569600).

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

2280129600 is a wasteful number, since it uses less digits than its factorization.

2280129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2280129600 is about 47750.7026126318. The cubic root of 2280129600 is about 1316.1938105123.

The spelling of 2280129600 in words is "two billion, two hundred eighty million, one hundred twenty-nine thousand, six hundred".