2196509029440 has 224 divisors, whose sum is σ = 7612998865920. Its totient is φ = 532130764800.

The previous prime is 2196509029433. The next prime is 2196509029457. The reversal of 2196509029440 is 449209056912.

It is a super-2 number, since 2×2196509029440² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15887331 + ... + 16024989.

It is an arithmetic number, because the mean of its divisors is an integer number (33986602080).

Almost surely, 2^{2196509029440} is an apocalyptic number.

2196509029440 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 2196509029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806499432960).

2196509029440 is an abundant number, since it is smaller than the sum of its proper divisors (5416489836480).

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

2196509029440 is a wasteful number, since it uses less digits than its factorization.

2196509029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139201 (or 139191 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 2196509029440 in words is "two trillion, one hundred ninety-six billion, five hundred nine million, twenty-nine thousand, four hundred forty".