2512240416 has 144 divisors (see below), whose sum is σ = 8645180544. Its totient is φ = 675551232.

The previous prime is 2512240411. The next prime is 2512240429. The reversal of 2512240416 is 6140422152.

2512240416 is a `hidden beast` number, since 2 + 5 + 1 + 2 + 240 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2512240416² = 12622703815567706112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2512240416.

It is not an unprimeable number, because it can be changed into a prime (2512240411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2380 + ... + 70923.

It is an arithmetic number, because the mean of its divisors is an integer number (60035976).

Almost surely, 2^2512240416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2512240416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322590272).

2512240416 is an abundant number, since it is smaller than the sum of its proper divisors (6132940128).

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

2512240416 is a wasteful number, since it uses less digits than its factorization.

2512240416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73343 (or 73332 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2512240416 is about 50122.2546978884. The cubic root of 2512240416 is about 1359.4202430856.

Adding to 2512240416 its reverse (6140422152), we get a palindrome (8652662568).

The spelling of 2512240416 in words is "two billion, five hundred twelve million, two hundred forty thousand, four hundred sixteen".