2416252225590 has 640 divisors, whose sum is σ = 7719528960000. Its totient is φ = 541971585792.

The previous prime is 2416252225531. The next prime is 2416252225591. The reversal of 2416252225590 is 955222526142.

2416252225590 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 2 + 52 + 2 + 2 + 5 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2416252225591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6211445116 + ... + 6211445504.

It is an arithmetic number, because the mean of its divisors is an integer number (12061764000).

Almost surely, 2^{2416252225590} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2416252225590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859764480000).

2416252225590 is an abundant number, since it is smaller than the sum of its proper divisors (5303276734410).

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

2416252225590 is a wasteful number, since it uses less digits than its factorization.

2416252225590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 2416252225590 in words is "two trillion, four hundred sixteen billion, two hundred fifty-two million, two hundred twenty-five thousand, five hundred ninety".