2514051120 has 640 divisors, whose sum is σ = 10259343360. Its totient is φ = 495452160.

The previous prime is 2514051083. The next prime is 2514051121. The reversal of 2514051120 is 211504152.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2514051121) 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 127 ways as a sum of consecutive naturals, for example, 22248184 + ... + 22248296.

It is an arithmetic number, because the mean of its divisors is an integer number (16030224).

Almost surely, 2^2514051120 is an apocalyptic number.

2514051120 is a gapful number since it is divisible by the number (20) 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 2514051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129671680).

2514051120 is an abundant number, since it is smaller than the sum of its proper divisors (7745292240).

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

2514051120 is a wasteful number, since it uses less digits than its factorization.

2514051120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 2514051120 is about 50140.3143189191. The cubic root of 2514051120 is about 1359.7467665761.

Adding to 2514051120 its reverse (211504152), we get a palindrome (2725555272).

The spelling of 2514051120 in words is "two billion, five hundred fourteen million, fifty-one thousand, one hundred twenty".