2300378655744 has 704 divisors, whose sum is σ = 7505186304000. Its totient is φ = 691713146880.

The previous prime is 2300378655691. The next prime is 2300378655761. The reversal of 2300378655744 is 4475568730032.

It is a happy number.

2300378655744 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 3 + 7 + 8 + 65 + 574 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5240042277 + ... + 5240042715.

It is an arithmetic number, because the mean of its divisors is an integer number (10660776000).

Almost surely, 2^{2300378655744} is an apocalyptic number.

2300378655744 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 2300378655744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752593152000).

2300378655744 is an abundant number, since it is smaller than the sum of its proper divisors (5204807648256).

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

2300378655744 is a wasteful number, since it uses less digits than its factorization.

2300378655744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 757 counting only the distinct ones).

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

The spelling of 2300378655744 in words is "two trillion, three hundred billion, three hundred seventy-eight million, six hundred fifty-five thousand, seven hundred forty-four".