2265519497472 has 2592 divisors, whose sum is σ = 9372935004160. Its totient is φ = 532102348800.

The previous prime is 2265519497429. The next prime is 2265519497513. The reversal of 2265519497472 is 2747949155622.

It is a happy number.

2265519497472 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 519 + 49 + 7 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31034513628 + ... + 31034513700.

Almost surely, 2^{2265519497472} is an apocalyptic number.

2265519497472 is a gapful number since it is divisible by the number (22) 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 2265519497472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4686467502080).

2265519497472 is an abundant number, since it is smaller than the sum of its proper divisors (7107415506688).

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

2265519497472 is a wasteful number, since it uses less digits than its factorization.

2265519497472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 146 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 2265519497472 in words is "two trillion, two hundred sixty-five billion, five hundred nineteen million, four hundred ninety-seven thousand, four hundred seventy-two".