2045321772732 has 216 divisors, whose sum is σ = 6143557492800. Its totient is φ = 571867575552.

The previous prime is 2045321772719. The next prime is 2045321772749. The reversal of 2045321772732 is 2372771235402.

2045321772732 is a `hidden beast` number, since 2 + 0 + 4 + 532 + 17 + 72 + 7 + 32 = 666.

It is a super-3 number, since 3×2045321772732³ (a number of 38 digits) contains 333 as substring.

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, 36340269 + ... + 36396507.

It is an arithmetic number, because the mean of its divisors is an integer number (28442395800).

Almost surely, 2^{2045321772732} 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 2045321772732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071778746400).

2045321772732 is an abundant number, since it is smaller than the sum of its proper divisors (4098235720068).

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

2045321772732 is a wasteful number, since it uses less digits than its factorization.

2045321772732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56705 (or 56693 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 2045321772732 in words is "two trillion, forty-five billion, three hundred twenty-one million, seven hundred seventy-two thousand, seven hundred thirty-two".