2245721407488 has 1800 divisors, whose sum is σ = 8358447525120. Its totient is φ = 596241285120.

The previous prime is 2245721407481. The next prime is 2245721407513. The reversal of 2245721407488 is 8847041275422.

2245721407488 is a `hidden beast` number, since 2 + 2 + 457 + 2 + 1 + 40 + 74 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245721407481) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 72442626033 + ... + 72442626063.

Almost surely, 2^{2245721407488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245721407488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179223762560).

2245721407488 is an abundant number, since it is smaller than the sum of its proper divisors (6112726117632).

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

2245721407488 is a wasteful number, since it uses less digits than its factorization.

2245721407488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 54.

The spelling of 2245721407488 in words is "two trillion, two hundred forty-five billion, seven hundred twenty-one million, four hundred seven thousand, four hundred eighty-eight".