2264961304736 has 96 divisors (see below), whose sum is σ = 4928594973120. Its totient is φ = 1018192766976.

The previous prime is 2264961304733. The next prime is 2264961304849. The reversal of 2264961304736 is 6374031694622.

It is not an unprimeable number, because it can be changed into a prime (2264961304733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2024075 + ... + 2937141.

It is an arithmetic number, because the mean of its divisors is an integer number (51339530970).

Almost surely, 2^{2264961304736} is an apocalyptic number.

2264961304736 is a gapful number since it is divisible by the number (26) 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 2264961304736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464297486560).

2264961304736 is an abundant number, since it is smaller than the sum of its proper divisors (2663633668384).

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

2264961304736 is a wasteful number, since it uses less digits than its factorization.

2264961304736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913246 (or 913238 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 53.

The spelling of 2264961304736 in words is "two trillion, two hundred sixty-four billion, nine hundred sixty-one million, three hundred four thousand, seven hundred thirty-six".