2145049920 has 672 divisors, whose sum is σ = 8627254272. Its totient is φ = 484982784.

The previous prime is 2145049909. The next prime is 2145049981. The reversal of 2145049920 is 299405412.

2145049920 is a `hidden beast` number, since 2 + 145 + 0 + 499 + 20 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40472614 + ... + 40472666.

It is an arithmetic number, because the mean of its divisors is an integer number (12838176).

Almost surely, 2^2145049920 is an apocalyptic number.

2145049920 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 2145049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313627136).

2145049920 is an abundant number, since it is smaller than the sum of its proper divisors (6482204352).

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

2145049920 is a wasteful number, since it uses less digits than its factorization.

2145049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2145049920 is about 46314.6836327314. The cubic root of 2145049920 is about 1289.6715947872.

The spelling of 2145049920 in words is "two billion, one hundred forty-five million, forty-nine thousand, nine hundred twenty".