2145950820 has 480 divisors, whose sum is σ = 7923041280. Its totient is φ = 481489920.

The previous prime is 2145950803. The next prime is 2145950857. The reversal of 2145950820 is 280595412.

2145950820 is a `hidden beast` number, since 2 + 145 + 9 + 508 + 2 + 0 = 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12404254 + ... + 12404426.

It is an arithmetic number, because the mean of its divisors is an integer number (16506336).

Almost surely, 2^2145950820 is an apocalyptic number.

2145950820 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 2145950820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961520640).

2145950820 is an abundant number, since it is smaller than the sum of its proper divisors (5777090460).

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

2145950820 is a wasteful number, since it uses less digits than its factorization.

2145950820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2145950820 is about 46324.4084689702. The cubic root of 2145950820 is about 1289.8521193381.

The spelling of 2145950820 in words is "two billion, one hundred forty-five million, nine hundred fifty thousand, eight hundred twenty".