1002542400 has 336 divisors, whose sum is σ = 3817315200. Its totient is φ = 255467520.

The previous prime is 1002542371. The next prime is 1002542413. The reversal of 1002542400 is 42452001.

1002542400 is a `hidden beast` number, since 10 + 0 + 254 + 2 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 993096 + ... + 994104.

Almost surely, 2^1002542400 is an apocalyptic number.

1002542400 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 1002542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908657600).

1002542400 is an abundant number, since it is smaller than the sum of its proper divisors (2814772800).

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

1002542400 is a wasteful number, since it uses less digits than its factorization.

1002542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1002542400 is about 31662.9499573239. The cubic root of 1002542400 is about 1000.8467494796.

Adding to 1002542400 its reverse (42452001), we get a palindrome (1044994401).

It can be divided in two parts, 10025 and 42400, that added together give a palindrome (52425).

The spelling of 1002542400 in words is "one billion, two million, five hundred forty-two thousand, four hundred".