2265005040000 has 640 divisors, whose sum is σ = 7891814810880. Its totient is φ = 574295040000.

The previous prime is 2265005039993. The next prime is 2265005040019. The reversal of 2265005040000 is 405005622.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 999118867 + ... + 999121133.

It is an arithmetic number, because the mean of its divisors is an integer number (12330960642).

Almost surely, 2^{2265005040000} is an apocalyptic number.

2265005040000 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 2265005040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945907405440).

2265005040000 is an abundant number, since it is smaller than the sum of its proper divisors (5626809770880).

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

2265005040000 is a wasteful number, since it uses less digits than its factorization.

2265005040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 2265005040000 in words is "two trillion, two hundred sixty-five billion, five million, forty thousand".