2748000147840 has 384 divisors, whose sum is σ = 10089152536320. Its totient is φ = 686826455040.

The previous prime is 2748000147817. The next prime is 2748000147913. The reversal of 2748000147840 is 487410008472.

2748000147840 is a `hidden beast` number, since 27 + 480 + 0 + 0 + 147 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 23540497 + ... + 23656943.

It is an arithmetic number, because the mean of its divisors is an integer number (26273834730).

Almost surely, 2^{2748000147840} is an apocalyptic number.

2748000147840 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 2748000147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044576268160).

2748000147840 is an abundant number, since it is smaller than the sum of its proper divisors (7341152388480).

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

2748000147840 is a wasteful number, since it uses less digits than its factorization.

2748000147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116730 (or 116715 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 2748000147840 in words is "two trillion, seven hundred forty-eight billion, one hundred forty-seven thousand, eight hundred forty".