2748520857600 has 1368 divisors, whose sum is σ = 11784000440880. Its totient is φ = 626251530240.

The previous prime is 2748520857583. The next prime is 2748520857623. The reversal of 2748520857600 is 67580258472.

2748520857600 is a `hidden beast` number, since 2 + 7 + 4 + 8 + 5 + 20 + 8 + 5 + 7 + 600 = 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 71 ways as a sum of consecutive naturals, for example, 8670412642 + ... + 8670412958.

It is an arithmetic number, because the mean of its divisors is an integer number (8614035410).

Almost surely, 2^{2748520857600} is an apocalyptic number.

2748520857600 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 2748520857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892000220440).

2748520857600 is an abundant number, since it is smaller than the sum of its proper divisors (9035479583280).

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

2748520857600 is an frugal number, since it uses more digits than its factorization.

2748520857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 2748520857600 in words is "two trillion, seven hundred forty-eight billion, five hundred twenty million, eight hundred fifty-seven thousand, six hundred".