2264953783104 has 140 divisors (see below), whose sum is σ = 6718330447488. Its totient is φ = 754501305600.

The previous prime is 2264953783073. The next prime is 2264953783117. The reversal of 2264953783104 is 4013873594622.

2264953783104 is a `hidden beast` number, since 2 + 26 + 4 + 9 + 537 + 83 + 1 + 0 + 4 = 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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8005009 + ... + 8283119.

It is a 1-persistent number, because it is pandigital, but 2⋅2264953783104 = 4529907566208 is not.

Almost surely, 2^{2264953783104} is an apocalyptic number.

2264953783104 is a gapful number since it is divisible by the number (24) 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 2264953783104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359165223744).

2264953783104 is an abundant number, since it is smaller than the sum of its proper divisors (4453376664384).

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

2264953783104 is a wasteful number, since it uses less digits than its factorization.

2264953783104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279706 (or 279687 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2264953783104 in words is "two trillion, two hundred sixty-four billion, nine hundred fifty-three million, seven hundred eighty-three thousand, one hundred four".