1002263040 has 240 divisors, whose sum is σ = 3559131576. Its totient is φ = 260505600.

The previous prime is 1002263029. The next prime is 1002263057. The reversal of 1002263040 is 403622001.

It is a happy number.

1002263040 is a `hidden beast` number, since 10 + 0 + 22 + 630 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 620607744 + 381655296 = 24912^2 + 19536^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944110 + ... + 945170.

Almost surely, 2^1002263040 is an apocalyptic number.

1002263040 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 1002263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779565788).

1002263040 is an abundant number, since it is smaller than the sum of its proper divisors (2556868536).

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

1002263040 is a wasteful number, since it uses less digits than its factorization.

1002263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1002263040 is about 31658.5381848246. The cubic root of 1002263040 is about 1000.7537783421.

Adding to 1002263040 its reverse (403622001), we get a palindrome (1405885041).

The spelling of 1002263040 in words is "one billion, two million, two hundred sixty-three thousand, forty".