2864145237660 has 216 divisors, whose sum is σ = 10259664655968. Its totient is φ = 633543379200.

The previous prime is 2864145237649. The next prime is 2864145237673. The reversal of 2864145237660 is 667325414682.

2864145237660 is a `hidden beast` number, since 2 + 8 + 6 + 41 + 4 + 523 + 76 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2864145237597 and 2864145237606.

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, 28170 + ... + 2393550.

Almost surely, 2^{2864145237660} is an apocalyptic number.

2864145237660 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 2864145237660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129832327984).

2864145237660 is an abundant number, since it is smaller than the sum of its proper divisors (7395519418308).

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

2864145237660 is a wasteful number, since it uses less digits than its factorization.

2864145237660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365465 (or 2365429 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2864145237660 in words is "two trillion, eight hundred sixty-four billion, one hundred forty-five million, two hundred thirty-seven thousand, six hundred sixty".