2260471064400 has 360 divisors, whose sum is σ = 7887230676000. Its totient is φ = 599515499520.

The previous prime is 2260471064353. The next prime is 2260471064417. The reversal of 2260471064400 is 44601740622.

2260471064400 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 4 + 7 + 1 + 0 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 530749471 + ... + 530753729.

It is an arithmetic number, because the mean of its divisors is an integer number (21908974100).

Almost surely, 2^{2260471064400} is an apocalyptic number.

2260471064400 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 2260471064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943615338000).

2260471064400 is an abundant number, since it is smaller than the sum of its proper divisors (5626759611600).

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

2260471064400 is a wasteful number, since it uses less digits than its factorization.

2260471064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5051 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 2260471064400 in words is "two trillion, two hundred sixty billion, four hundred seventy-one million, sixty-four thousand, four hundred".