2145720695040 has 1944 divisors, whose sum is σ = 8803933250112. Its totient is φ = 481858191360.

The previous prime is 2145720695017. The next prime is 2145720695051. The reversal of 2145720695040 is 405960275412.

2145720695040 is a `hidden beast` number, since 2 + 14 + 5 + 72 + 0 + 69 + 504 + 0 = 666.

It is a super-2 number, since 2×2145720695040² (a number of 25 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 30221418205 + ... + 30221418275.

It is an arithmetic number, because the mean of its divisors is an integer number (4528772248).

Almost surely, 2^{2145720695040} is an apocalyptic number.

2145720695040 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 2145720695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401966625056).

2145720695040 is an abundant number, since it is smaller than the sum of its proper divisors (6658212555072).

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

2145720695040 is a wasteful number, since it uses less digits than its factorization.

2145720695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2145720695040 in words is "two trillion, one hundred forty-five billion, seven hundred twenty million, six hundred ninety-five thousand, forty".