2502134440 has 32 divisors (see below), whose sum is σ = 6062865480. Its totient is φ = 923864832.

The previous prime is 2502134431. The next prime is 2502134449. The reversal of 2502134440 is 444312052.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2502134431) and next prime (2502134449).

It can be written as a sum of positive squares in 4 ways, for example, as 1621350756 + 880783684 = 40266^2 + 29678^2 .

It is a super-2 number, since 2×2502134440² = 12521353511668227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2502134449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2405379 + ... + 2406418.

Almost surely, 2^2502134440 is an apocalyptic number.

2502134440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2502134440 is an abundant number, since it is smaller than the sum of its proper divisors (3560731040).

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

2502134440 is a wasteful number, since it uses less digits than its factorization.

2502134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811821 (or 4811817 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2502134440 is about 50021.3398461097. The cubic root of 2502134440 is about 1357.5949491949.

Adding to 2502134440 its reverse (444312052), we get a palindrome (2946446492).

It can be divided in two parts, 250 and 2134440, that multiplied together give a square (533610000 = 23100²).

The spelling of 2502134440 in words is "two billion, five hundred two million, one hundred thirty-four thousand, four hundred forty".