2245703382720 has 1680 divisors, whose sum is σ = 10122119964000. Its totient is φ = 469372796928.

The previous prime is 2245703382697. The next prime is 2245703382731. The reversal of 2245703382720 is 272833075422.

2245703382720 is a `hidden beast` number, since 2 + 2 + 4 + 570 + 3 + 3 + 8 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 699812476 + ... + 699815684.

Almost surely, 2^{2245703382720} is an apocalyptic number.

2245703382720 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 2245703382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061059982000).

2245703382720 is an abundant number, since it is smaller than the sum of its proper divisors (7876416581280).

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

2245703382720 is a wasteful number, since it uses less digits than its factorization.

2245703382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 2245703382720 in words is "two trillion, two hundred forty-five billion, seven hundred three million, three hundred eighty-two thousand, seven hundred twenty".