2249769600 has 384 divisors, whose sum is σ = 8871307200. Its totient is φ = 553512960.

The previous prime is 2249769593. The next prime is 2249769601. The reversal of 2249769600 is 69679422.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2249769600² = 10122926506168320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2249769601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1122199 + ... + 1124201.

Almost surely, 2^2249769600 is an apocalyptic number.

2249769600 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 2249769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435653600).

2249769600 is an abundant number, since it is smaller than the sum of its proper divisors (6621537600).

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

2249769600 is a wasteful number, since it uses less digits than its factorization.

2249769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2249769600 is about 47431.7362111066. The cubic root of 2249769600 is about 1310.3259682579.

The spelling of 2249769600 in words is "two billion, two hundred forty-nine million, seven hundred sixty-nine thousand, six hundred".