2264995353600 has 2640 divisors, whose sum is σ = 10375652022912. Its totient is φ = 476483420160.

The previous prime is 2264995353581. The next prime is 2264995353623. The reversal of 2264995353600 is 63535994622.

It is a happy number.

2264995353600 is a `hidden beast` number, since 2 + 2 + 6 + 49 + 9 + 535 + 3 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 16532812732 + ... + 16532812868.

Almost surely, 2^{2264995353600} is an apocalyptic number.

2264995353600 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 2264995353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187826011456).

2264995353600 is an abundant number, since it is smaller than the sum of its proper divisors (8110656669312).

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

2264995353600 is a wasteful number, since it uses less digits than its factorization.

2264995353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 2264995353600 in words is "two trillion, two hundred sixty-four billion, nine hundred ninety-five million, three hundred fifty-three thousand, six hundred".