2265535613880 has 1280 divisors, whose sum is σ = 10338565248000. Its totient is φ = 430578892800.

The previous prime is 2265535613837. The next prime is 2265535613911. The reversal of 2265535613880 is 883165355622.

It is a happy number.

2265535613880 is a `hidden beast` number, since 2 + 2 + 6 + 553 + 5 + 6 + 1 + 3 + 8 + 80 = 666.

2265535613880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 137455240 + ... + 137471720.

It is an arithmetic number, because the mean of its divisors is an integer number (8077004100).

Almost surely, 2^{2265535613880} is an apocalyptic number.

2265535613880 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 2265535613880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169282624000).

2265535613880 is an abundant number, since it is smaller than the sum of its proper divisors (8073029634120).

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

2265535613880 is a wasteful number, since it uses less digits than its factorization.

2265535613880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16570 (or 16557 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 2265535613880 in words is "two trillion, two hundred sixty-five billion, five hundred thirty-five million, six hundred thirteen thousand, eight hundred eighty".