2145084597072 has 240 divisors, whose sum is σ = 6240975998400. Its totient is φ = 687267237888.

The previous prime is 2145084597059. The next prime is 2145084597101. The reversal of 2145084597072 is 2707954805412.

2145084597072 is a `hidden beast` number, since 2 + 1 + 4 + 50 + 8 + 459 + 70 + 72 = 666.

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, 529779304 + ... + 529783352.

It is an arithmetic number, because the mean of its divisors is an integer number (26004066660).

Almost surely, 2^{2145084597072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145084597072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120487999200).

2145084597072 is an abundant number, since it is smaller than the sum of its proper divisors (4095891401328).

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

2145084597072 is a wasteful number, since it uses less digits than its factorization.

2145084597072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 2145084597072 in words is "two trillion, one hundred forty-five billion, eighty-four million, five hundred ninety-seven thousand, seventy-two".