2045296536660 has 768 divisors, whose sum is σ = 7752161894400. Its totient is φ = 442170482688.

The previous prime is 2045296536631. The next prime is 2045296536697. The reversal of 2045296536660 is 666356925402.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2045296536597 and 2045296536606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 151913089 + ... + 151926551.

It is an arithmetic number, because the mean of its divisors is an integer number (10093960800).

Almost surely, 2^{2045296536660} is an apocalyptic number.

2045296536660 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 2045296536660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876080947200).

2045296536660 is an abundant number, since it is smaller than the sum of its proper divisors (5706865357740).

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

2045296536660 is a wasteful number, since it uses less digits than its factorization.

2045296536660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13597 (or 13589 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 2045296536660 in words is "two trillion, forty-five billion, two hundred ninety-six million, five hundred thirty-six thousand, six hundred sixty".