2264835300 has 288 divisors, whose sum is σ = 8418127872. Its totient is φ = 456952320.

The previous prime is 2264835299. The next prime is 2264835311. The reversal of 2264835300 is 35384622.

It is a happy number.

It is a super-2 number, since 2×2264835300² = 10258957872252180000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 626097 + ... + 629703.

Almost surely, 2^2264835300 is an apocalyptic number.

2264835300 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 2264835300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209063936).

2264835300 is an abundant number, since it is smaller than the sum of its proper divisors (6153292572).

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

2264835300 is a wasteful number, since it uses less digits than its factorization.

2264835300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2264835300 is about 47590.2857734643. The cubic root of 2264835300 is about 1313.2443523821.

The spelling of 2264835300 in words is "two billion, two hundred sixty-four million, eight hundred thirty-five thousand, three hundred".