2045271377520 has 1280 divisors, whose sum is σ = 8473103400960. Its totient is φ = 449364464640.

The previous prime is 2045271377507. The next prime is 2045271377537. The reversal of 2045271377520 is 257731725402.

2045271377520 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 271 + 377 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×2045271377520² (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 255 ways as a sum of consecutive naturals, for example, 3739069887 + ... + 3739070433.

It is an arithmetic number, because the mean of its divisors is an integer number (6619612032).

Almost surely, 2^{2045271377520} is an apocalyptic number.

2045271377520 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 2045271377520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236551700480).

2045271377520 is an abundant number, since it is smaller than the sum of its proper divisors (6427832023440).

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

2045271377520 is an equidigital number, since it uses as much as digits as its factorization.

2045271377520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 2045271377520 in words is "two trillion, forty-five billion, two hundred seventy-one million, three hundred seventy-seven thousand, five hundred twenty".