2445349374720 has 1728 divisors, whose sum is σ = 10379017313280. Its totient is φ = 543449088000.

The previous prime is 2445349374701. The next prime is 2445349374761. The reversal of 2445349374720 is 274739435442.

2445349374720 is a `hidden beast` number, since 2 + 4 + 4 + 534 + 9 + 37 + 4 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16194366645 + ... + 16194366795.

It is an arithmetic number, because the mean of its divisors is an integer number (6006375760).

Almost surely, 2^{2445349374720} is an apocalyptic number.

2445349374720 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 2445349374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189508656640).

2445349374720 is an abundant number, since it is smaller than the sum of its proper divisors (7933667938560).

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

2445349374720 is a wasteful number, since it uses less digits than its factorization.

2445349374720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 2445349374720 in words is "two trillion, four hundred forty-five billion, three hundred forty-nine million, three hundred seventy-four thousand, seven hundred twenty".