2145496610880 has 1344 divisors, whose sum is σ = 8988054566400. Its totient is φ = 486930382848.

The previous prime is 2145496610879. The next prime is 2145496610927. The reversal of 2145496610880 is 880166945412.

2145496610880 is a `hidden beast` number, since 2 + 1 + 4 + 549 + 6 + 6 + 10 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×2145496610880² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 6854621604 + ... + 6854621916.

It is an arithmetic number, because the mean of its divisors is an integer number (6687540600).

Almost surely, 2^{2145496610880} is an apocalyptic number.

2145496610880 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 2145496610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494027283200).

2145496610880 is an abundant number, since it is smaller than the sum of its proper divisors (6842557955520).

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

2145496610880 is an equidigital number, since it uses as much as digits as its factorization.

2145496610880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 2145496610880 in words is "two trillion, one hundred forty-five billion, four hundred ninety-six million, six hundred ten thousand, eight hundred eighty".