2197329949440 has 864 divisors, whose sum is σ = 8047586566656. Its totient is φ = 573945937920.

The previous prime is 2197329949429. The next prime is 2197329949489. The reversal of 2197329949440 is 449499237912.

2197329949440 is a `hidden beast` number, since 2 + 19 + 7 + 3 + 2 + 99 + 494 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3427971520 + ... + 3427972160.

It is an arithmetic number, because the mean of its divisors is an integer number (9314336304).

Almost surely, 2^{2197329949440} is an apocalyptic number.

2197329949440 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 2197329949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023793283328).

2197329949440 is an abundant number, since it is smaller than the sum of its proper divisors (5850256617216).

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

2197329949440 is a wasteful number, since it uses less digits than its factorization.

2197329949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 2197329949440 in words is "two trillion, one hundred ninety-seven billion, three hundred twenty-nine million, nine hundred forty-nine thousand, four hundred forty".