2245526010000 has 800 divisors, whose sum is σ = 9913075800320. Its totient is φ = 473776128000.

The previous prime is 2245526009917. The next prime is 2245526010001. The reversal of 2245526010000 is 106255422.

2245526010000 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 52 + 601 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2245526010001) 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 159 ways as a sum of consecutive naturals, for example, 24524304 + ... + 24615696.

Almost surely, 2^{2245526010000} is an apocalyptic number.

2245526010000 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 2245526010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4956537900160).

2245526010000 is an abundant number, since it is smaller than the sum of its proper divisors (7667549790320).

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

2245526010000 is a wasteful number, since it uses less digits than its factorization.

2245526010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91450 (or 91423 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 2245526010000 in words is "two trillion, two hundred forty-five billion, five hundred twenty-six million, ten thousand".