2511490000 has 50 divisors (see below), whose sum is σ = 6080592650. Its totient is φ = 1004592000.

The previous prime is 2511489997. The next prime is 2511490043. The reversal of 2511490000 is 941152.

It can be written as a sum of positive squares in 5 ways, for example, as 503733136 + 2007756864 = 22444^2 + 44808^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 115575 + ... + 135574.

It is an arithmetic number, because the mean of its divisors is an integer number (121611853).

Almost surely, 2^2511490000 is an apocalyptic number.

2511490000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2511490000 is an abundant number, since it is smaller than the sum of its proper divisors (3569102650).

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

2511490000 is an equidigital number, since it uses as much as digits as its factorization.

2511490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251177 (or 251156 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 2511490000 is about 50114.7682824135. The cubic root of 2511490000 is about 1359.2848748987.

The spelling of 2511490000 in words is "two billion, five hundred eleven million, four hundred ninety thousand".