2245866061824 has 1536 divisors, whose sum is σ = 8691052473600. Its totient is φ = 567575838720.

The previous prime is 2245866061819. The next prime is 2245866061843. The reversal of 2245866061824 is 4281606685422.

2245866061824 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 8 + 6 + 606 + 1 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60699082734 + ... + 60699082770.

Almost surely, 2^{2245866061824} is an apocalyptic number.

2245866061824 is a gapful number since it is divisible by the number (24) 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 2245866061824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345526236800).

2245866061824 is an abundant number, since it is smaller than the sum of its proper divisors (6445186411776).

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

2245866061824 is an frugal number, since it uses more digits than its factorization.

2245866061824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 2245866061824 in words is "two trillion, two hundred forty-five billion, eight hundred sixty-six million, sixty-one thousand, eight hundred twenty-four".