2002345920 has 280 divisors, whose sum is σ = 7235275344. Its totient is φ = 525533184.

The previous prime is 2002345903. The next prime is 2002345927. The reversal of 2002345920 is 295432002.

2002345920 is a `hidden beast` number, since 200 + 2 + 3 + 459 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002345927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1736064 + ... + 1737216.

Almost surely, 2^2002345920 is an apocalyptic number.

2002345920 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 2002345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617637672).

2002345920 is an abundant number, since it is smaller than the sum of its proper divisors (5232929424).

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

2002345920 is a wasteful number, since it uses less digits than its factorization.

2002345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2002345920 is about 44747.5800462997. The cubic root of 2002345920 is about 1260.4134697470.

Adding to 2002345920 its reverse (295432002), we get a palindrome (2297777922).

The spelling of 2002345920 in words is "two billion, two million, three hundred forty-five thousand, nine hundred twenty".