2652222226500 has 576 divisors, whose sum is σ = 10980481075200. Its totient is φ = 522103968000.

The previous prime is 2652222226471. The next prime is 2652222226541. The reversal of 2652222226500 is 56222222562.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6382071 + ... + 6784929.

It is an arithmetic number, because the mean of its divisors is an integer number (19063335200).

Almost surely, 2^{2652222226500} is an apocalyptic number.

2652222226500 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 2652222226500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490240537600).

2652222226500 is an abundant number, since it is smaller than the sum of its proper divisors (8328258848700).

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

2652222226500 is a wasteful number, since it uses less digits than its factorization.

2652222226500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402921 (or 402906 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2652222226500 in words is "two trillion, six hundred fifty-two billion, two hundred twenty-two million, two hundred twenty-six thousand, five hundred".