2745848160000 has 2700 divisors, whose sum is σ = 12023053778736. Its totient is φ = 620421120000.

The previous prime is 2745848159969. The next prime is 2745848160089. The reversal of 2745848160000 is 618485472.

2745848160000 is a `hidden beast` number, since 2 + 7 + 4 + 584 + 8 + 1 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 26658719949 + ... + 26658720051.

Almost surely, 2^{2745848160000} is an apocalyptic number.

2745848160000 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 2745848160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011526889368).

2745848160000 is an abundant number, since it is smaller than the sum of its proper divisors (9277205618736).

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

2745848160000 is a wasteful number, since it uses less digits than its factorization.

2745848160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 2745848160000 in words is "two trillion, seven hundred forty-five billion, eight hundred forty-eight million, one hundred sixty thousand".