2264053460760 has 768 divisors, whose sum is σ = 9399779481600. Its totient is φ = 474605733888.

The previous prime is 2264053460749. The next prime is 2264053460803. The reversal of 2264053460760 is 670643504622.

2264053460760 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 0 + 5 + 34 + 607 + 6 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 200583837 + ... + 200595123.

It is an arithmetic number, because the mean of its divisors is an integer number (12239296200).

Almost surely, 2^{2264053460760} is an apocalyptic number.

2264053460760 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 2264053460760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4699889740800).

2264053460760 is an abundant number, since it is smaller than the sum of its proper divisors (7135726020840).

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

2264053460760 is a wasteful number, since it uses less digits than its factorization.

2264053460760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11497 (or 11474 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 2264053460760 in words is "two trillion, two hundred sixty-four billion, fifty-three million, four hundred sixty thousand, seven hundred sixty".