2260013400000 has 840 divisors, whose sum is σ = 8514693899712. Its totient is φ = 592531200000.

The previous prime is 2260013399857. The next prime is 2260013400059. The reversal of 2260013400000 is 43100622.

It is a happy number.

2260013400000 is a `hidden beast` number, since 2 + 260 + 0 + 1 + 3 + 400 + 0 + 0 + 0 = 666.

2260013400000 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 988198857 + ... + 988201143.

Almost surely, 2^{2260013400000} is an apocalyptic number.

2260013400000 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 2260013400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257346949856).

2260013400000 is an abundant number, since it is smaller than the sum of its proper divisors (6254680499712).

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

2260013400000 is an frugal number, since it uses more digits than its factorization.

2260013400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2260013400000 its reverse (43100622), we get a palindrome (2260056500622).

The spelling of 2260013400000 in words is "two trillion, two hundred sixty billion, thirteen million, four hundred thousand".