2511330420 has 48 divisors (see below), whose sum is σ = 7038718848. Its totient is φ = 669022080.

The previous prime is 2511330413. The next prime is 2511330427. The reversal of 2511330420 is 240331152.

It is an interprime number because it is at equal distance from previous prime (2511330413) and next prime (2511330427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2511330427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41562 + ... + 82158.

It is an arithmetic number, because the mean of its divisors is an integer number (146639976).

Almost surely, 2^2511330420 is an apocalyptic number.

2511330420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2511330420 is an abundant number, since it is smaller than the sum of its proper divisors (4527388428).

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

2511330420 is a wasteful number, since it uses less digits than its factorization.

2511330420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41640 (or 41638 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2511330420 is about 50113.1761116775. The cubic root of 2511330420 is about 1359.2560846487.

Adding to 2511330420 its reverse (240331152), we get a palindrome (2751661572).

The spelling of 2511330420 in words is "two billion, five hundred eleven million, three hundred thirty thousand, four hundred twenty".