2145777670272 has 128 divisors (see below), whose sum is σ = 5760064684800. Its totient is φ = 707725025280.

The previous prime is 2145777670177. The next prime is 2145777670273. The reversal of 2145777670272 is 2720767775412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2145777670273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14334372 + ... + 14483292.

It is an arithmetic number, because the mean of its divisors is an integer number (45000505350).

Almost surely, 2^{2145777670272} 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 2145777670272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880032342400).

2145777670272 is an abundant number, since it is smaller than the sum of its proper divisors (3614287014528).

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

2145777670272 is a wasteful number, since it uses less digits than its factorization.

2145777670272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149334 (or 149322 counting only the distinct ones).

The product of its (nonzero) digits is 16134720, while the sum is 57.

The spelling of 2145777670272 in words is "two trillion, one hundred forty-five billion, seven hundred seventy-seven million, six hundred seventy thousand, two hundred seventy-two".