2552226235416 has 512 divisors, whose sum is σ = 8554141209600. Its totient is φ = 694697472000.

The previous prime is 2552226235369. The next prime is 2552226235423. The reversal of 2552226235416 is 6145326222552.

It is a happy number.

2552226235416 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 2 + 2 + 623 + 5 + 4 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 533155375 + ... + 533160161.

It is an arithmetic number, because the mean of its divisors is an integer number (16707307050).

Almost surely, 2^{2552226235416} is an apocalyptic number.

2552226235416 is a gapful number since it is divisible by the number (26) 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 2552226235416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277070604800).

2552226235416 is an abundant number, since it is smaller than the sum of its proper divisors (6001914974184).

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

2552226235416 is a wasteful number, since it uses less digits than its factorization.

2552226235416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5288 (or 5278 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 2552226235416 in words is "two trillion, five hundred fifty-two billion, two hundred twenty-six million, two hundred thirty-five thousand, four hundred sixteen".