1002305040 has 320 divisors, whose sum is σ = 3748902912. Its totient is φ = 218521600.

The previous prime is 1002305011. The next prime is 1002305041. The reversal of 1002305040 is 405032001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1002305041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1031755 + ... + 1032725.

Almost surely, 2^1002305040 is an apocalyptic number.

1002305040 is a gapful number since it is divisible by the number (10) 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 1002305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874451456).

1002305040 is an abundant number, since it is smaller than the sum of its proper divisors (2746597872).

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

1002305040 is a wasteful number, since it uses less digits than its factorization.

1002305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1002305040 is about 31659.2015060393. The cubic root of 1002305040 is about 1000.7677570649.

Adding to 1002305040 its reverse (405032001), we get a palindrome (1407337041).

The spelling of 1002305040 in words is "one billion, two million, three hundred five thousand, forty".