2097218148480 has 3072 divisors, whose sum is σ = 10239486566400. Its totient is φ = 397303087104.

The previous prime is 2097218148449. The next prime is 2097218148499. The reversal of 2097218148480 is 848418127902.

2097218148480 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 2 + 1 + 81 + 484 + 80 = 666.

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 383 ways as a sum of consecutive naturals, for example, 5533556931 + ... + 5533557309.

It is an arithmetic number, because the mean of its divisors is an integer number (3333166200).

Almost surely, 2^{2097218148480} is an apocalyptic number.

2097218148480 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 2097218148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119743283200).

2097218148480 is an abundant number, since it is smaller than the sum of its proper divisors (8142268417920).

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

2097218148480 is a wasteful number, since it uses less digits than its factorization.

2097218148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 2097218148480 in words is "two trillion, ninety-seven billion, two hundred eighteen million, one hundred forty-eight thousand, four hundred eighty".