2745962505000 has 1920 divisors, whose sum is σ = 11510457974400. Its totient is φ = 602173440000.

The previous prime is 2745962504981. The next prime is 2745962505061. The reversal of 2745962505000 is 5052695472.

2745962505000 is a `hidden beast` number, since 2 + 7 + 4 + 5 + 96 + 2 + 50 + 500 + 0 = 666.

2745962505000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 14227784904 + ... + 14227785096.

It is an arithmetic number, because the mean of its divisors is an integer number (5995030195).

Almost surely, 2^{2745962505000} is an apocalyptic number.

2745962505000 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 2745962505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755228987200).

2745962505000 is an abundant number, since it is smaller than the sum of its proper divisors (8764495469400).

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

2745962505000 is a wasteful number, since it uses less digits than its factorization.

2745962505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 2745962505000 in words is "two trillion, seven hundred forty-five billion, nine hundred sixty-two million, five hundred five thousand".