2502333000 has 160 divisors (see below), whose sum is σ = 8747327160. Its totient is φ = 667267200.

The previous prime is 2502332993. The next prime is 2502333007. The reversal of 2502333000 is 3332052.

It is an interprime number because it is at equal distance from previous prime (2502332993) and next prime (2502333007).

It can be written as a sum of positive squares in 4 ways, for example, as 600152004 + 1902180996 = 24498^2 + 43614^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2502333007) 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, 65554 + ... + 96446.

Almost surely, 2^2502333000 is an apocalyptic number.

2502333000 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 2502333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373663580).

2502333000 is an abundant number, since it is smaller than the sum of its proper divisors (6244994160).

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

2502333000 is a wasteful number, since it uses less digits than its factorization.

2502333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30926 (or 30903 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 2502333000 is about 50023.3245596492. The cubic root of 2502333000 is about 1357.6308594586.

Adding to 2502333000 its reverse (3332052), we get a palindrome (2505665052).

The spelling of 2502333000 in words is "two billion, five hundred two million, three hundred thirty-three thousand".