2002455000 has 640 divisors, whose sum is σ = 8607244800. Its totient is φ = 419904000.

The previous prime is 2002454999. The next prime is 2002455001. The reversal of 2002455000 is 5542002.

It is an interprime number because it is at equal distance from previous prime (2002454999) and next prime (2002455001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002455001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12284919 + ... + 12285081.

It is an arithmetic number, because the mean of its divisors is an integer number (13448820).

Almost surely, 2^2002455000 is an apocalyptic number.

2002455000 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 2002455000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303622400).

2002455000 is an abundant number, since it is smaller than the sum of its proper divisors (6604789800).

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

2002455000 is a wasteful number, since it uses less digits than its factorization.

2002455000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2002455000 is about 44748.7988665618. The cubic root of 2002455000 is about 1260.4363568022.

Adding to 2002455000 its reverse (5542002), we get a palindrome (2007997002).

The spelling of 2002455000 in words is "two billion, two million, four hundred fifty-five thousand".