2249264505600 has 3240 divisors, whose sum is σ = 10726439901408. Its totient is φ = 453869568000.

The previous prime is 2249264505577. The next prime is 2249264505611. The reversal of 2249264505600 is 65054629422.

2249264505600 is a `hidden beast` number, since 2 + 2 + 49 + 2 + 6 + 45 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 22269945550 + ... + 22269945650.

Almost surely, 2^{2249264505600} is an apocalyptic number.

2249264505600 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 2249264505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5363219950704).

2249264505600 is an abundant number, since it is smaller than the sum of its proper divisors (8477175395808).

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

2249264505600 is a wasteful number, since it uses less digits than its factorization.

2249264505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2249264505600 in words is "two trillion, two hundred forty-nine billion, two hundred sixty-four million, five hundred five thousand, six hundred".