2516352440 has 64 divisors (see below), whose sum is σ = 6495413760. Its totient is φ = 859443840.

The previous prime is 2516352437. The next prime is 2516352463. The reversal of 2516352440 is 442536152.

It is a junction number, because it is equal to n+sod(n) for n = 2516352397 and 2516352406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56555 + ... + 90725.

It is an arithmetic number, because the mean of its divisors is an integer number (101490840).

Almost surely, 2^2516352440 is an apocalyptic number.

2516352440 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 2516352440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247706880).

2516352440 is an abundant number, since it is smaller than the sum of its proper divisors (3979061320).

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

2516352440 is a wasteful number, since it uses less digits than its factorization.

2516352440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34452 (or 34448 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2516352440 is about 50163.2578686831. The cubic root of 2516352440 is about 1360.1615364641.

Adding to 2516352440 its reverse (442536152), we get a palindrome (2958888592).

The spelling of 2516352440 in words is "two billion, five hundred sixteen million, three hundred fifty-two thousand, four hundred forty".