2251487616 has 256 divisors, whose sum is σ = 7490880000. Its totient is φ = 584220672.

The previous prime is 2251487573. The next prime is 2251487617. The reversal of 2251487616 is 6167841522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251487617) 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 31 ways as a sum of consecutive naturals, for example, 1324335 + ... + 1326033.

It is an arithmetic number, because the mean of its divisors is an integer number (29261250).

Almost surely, 2^2251487616 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 2251487616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745440000).

2251487616 is an abundant number, since it is smaller than the sum of its proper divisors (5239392384).

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

2251487616 is a wasteful number, since it uses less digits than its factorization.

2251487616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1757 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 2251487616 is about 47449.8431609631. The cubic root of 2251487616 is about 1310.6594228770.

It can be divided in two parts, 225 and 1487616, that added together give a palindrome (1487841).

The spelling of 2251487616 in words is "two billion, two hundred fifty-one million, four hundred eighty-seven thousand, six hundred sixteen".