2045646720 has 384 divisors, whose sum is σ = 8059746240. Its totient is φ = 473628672.

The previous prime is 2045646719. The next prime is 2045646751. The reversal of 2045646720 is 276465402.

2045646720 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 646 + 7 + 2 + 0 = 666.

2045646720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272157 + ... + 1273763.

Almost surely, 2^2045646720 is an apocalyptic number.

2045646720 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 2045646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029873120).

2045646720 is an abundant number, since it is smaller than the sum of its proper divisors (6014099520).

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

2045646720 is a wasteful number, since it uses less digits than its factorization.

2045646720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2045646720 is about 45228.8262063034. The cubic root of 2045646720 is about 1269.4342490128.

It can be divided in two parts, 20456 and 46720, that added together give a palindrome (67176).

The spelling of 2045646720 in words is "two billion, forty-five million, six hundred forty-six thousand, seven hundred twenty".