2516145024 has 64 divisors (see below), whose sum is σ = 6695280000. Its totient is φ = 837238272.

The previous prime is 2516145017. The next prime is 2516145041. The reversal of 2516145024 is 4205416152.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2516144982 and 2516145000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224547 + ... + 235485.

It is an arithmetic number, because the mean of its divisors is an integer number (104613750).

Almost surely, 2^2516145024 is an apocalyptic number.

2516145024 is a gapful number since it is divisible by the number (24) 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 2516145024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347640000).

2516145024 is an abundant number, since it is smaller than the sum of its proper divisors (4179134976).

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

2516145024 is a wasteful number, since it uses less digits than its factorization.

2516145024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11555 (or 11543 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2516145024 is about 50161.1904164963. The cubic root of 2516145024 is about 1360.1241639810.

The spelling of 2516145024 in words is "two billion, five hundred sixteen million, one hundred forty-five thousand, twenty-four".