2265014341344 has 96 divisors (see below), whose sum is σ = 6058887156000. Its totient is φ = 740631969792.

The previous prime is 2265014341283. The next prime is 2265014341411. The reversal of 2265014341344 is 4431434105622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32207532 + ... + 32277780.

It is an arithmetic number, because the mean of its divisors is an integer number (63113407875).

Almost surely, 2^{2265014341344} is an apocalyptic number.

2265014341344 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 2265014341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029443578000).

2265014341344 is an abundant number, since it is smaller than the sum of its proper divisors (3793872814656).

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

2265014341344 is a wasteful number, since it uses less digits than its factorization.

2265014341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76652 (or 76644 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

Adding to 2265014341344 its reverse (4431434105622), we get a palindrome (6696448446966).

The spelling of 2265014341344 in words is "two trillion, two hundred sixty-five billion, fourteen million, three hundred forty-one thousand, three hundred forty-four".