2045252705940 has 1152 divisors, whose sum is σ = 7338420633600. Its totient is φ = 470727936000.

The previous prime is 2045252705911. The next prime is 2045252706001. The reversal of 2045252705940 is 495072525402.

2045252705940 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 2 + 52 + 7 + 0 + 594 + 0 = 666.

It is a super-2 number, since 2×2045252705940² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28806376105 + ... + 28806376175.

It is an arithmetic number, because the mean of its divisors is an integer number (6370156800).

Almost surely, 2^{2045252705940} is an apocalyptic number.

2045252705940 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 2045252705940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669210316800).

2045252705940 is an abundant number, since it is smaller than the sum of its proper divisors (5293167927660).

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

2045252705940 is a wasteful number, since it uses less digits than its factorization.

2045252705940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2045252705940 in words is "two trillion, forty-five billion, two hundred fifty-two million, seven hundred five thousand, nine hundred forty".