2045214264 has 128 divisors (see below), whose sum is σ = 5486745600. Its totient is φ = 633456000.

The previous prime is 2045214239. The next prime is 2045214317. The reversal of 2045214264 is 4624125402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8148139 + ... + 8148389.

It is an arithmetic number, because the mean of its divisors is an integer number (42865200).

Almost surely, 2^2045214264 is an apocalyptic number.

2045214264 is a gapful number since it is divisible by the number (24) 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 2045214264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743372800).

2045214264 is an abundant number, since it is smaller than the sum of its proper divisors (3441531336).

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

2045214264 is a wasteful number, since it uses less digits than its factorization.

2045214264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2045214264 is about 45224.0451972178. The cubic root of 2045214264 is about 1269.3447886087.

Adding to 2045214264 its reverse (4624125402), we get a palindrome (6669339666).

It can be divided in two parts, 20452 and 14264, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 2045214264 in words is "two billion, forty-five million, two hundred fourteen thousand, two hundred sixty-four".