2305478536704 has 1600 divisors, whose sum is σ = 9154792627200. Its totient is φ = 561269440512.

The previous prime is 2305478536693. The next prime is 2305478536741. The reversal of 2305478536704 is 4076358745032.

It is a happy number.

2305478536704 is a `hidden beast` number, since 2 + 30 + 5 + 4 + 7 + 8 + 536 + 70 + 4 = 666.

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 159 ways as a sum of consecutive naturals, for example, 2156667882 + ... + 2156668950.

It is an arithmetic number, because the mean of its divisors is an integer number (5721745392).

Almost surely, 2^{2305478536704} is an apocalyptic number.

2305478536704 is a gapful number since it is divisible by the number (24) 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 2305478536704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4577396313600).

2305478536704 is an abundant number, since it is smaller than the sum of its proper divisors (6849314090496).

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

2305478536704 is a wasteful number, since it uses less digits than its factorization.

2305478536704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 2305478536704 in words is "two trillion, three hundred five billion, four hundred seventy-eight million, five hundred thirty-six thousand, seven hundred four".