2145634920 has 480 divisors, whose sum is σ = 8556969960. Its totient is φ = 479001600.

The previous prime is 2145634913. The next prime is 2145634927. The reversal of 2145634920 is 294365412.

It is a happy number.

2145634920 is a `hidden beast` number, since 2 + 1 + 4 + 563 + 4 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2145634913) and next prime (2145634927).

It can be written as a sum of positive squares in 4 ways, for example, as 593117316 + 1552517604 = 24354^2 + 39402^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2145634927) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 5096310 + ... + 5096730.

Almost surely, 2^2145634920 is an apocalyptic number.

2145634920 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 2145634920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278484980).

2145634920 is an abundant number, since it is smaller than the sum of its proper divisors (6411335040).

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

2145634920 is a wasteful number, since it uses less digits than its factorization.

2145634920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2145634920 is about 46320.9986938969. The cubic root of 2145634920 is about 1289.7888242746.

The spelling of 2145634920 in words is "two billion, one hundred forty-five million, six hundred thirty-four thousand, nine hundred twenty".