2196015639840 has 288 divisors, whose sum is σ = 8176622702976. Its totient is φ = 532272660480.

The previous prime is 2196015639827. The next prime is 2196015639841. The reversal of 2196015639840 is 489365106912.

2196015639840 is a `hidden beast` number, since 2 + 1 + 9 + 60 + 156 + 398 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2196015639841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136960464 + ... + 136976496.

It is an arithmetic number, because the mean of its divisors is an integer number (28391051052).

Almost surely, 2^{2196015639840} is an apocalyptic number.

2196015639840 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 2196015639840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088311351488).

2196015639840 is an abundant number, since it is smaller than the sum of its proper divisors (5980607063136).

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

2196015639840 is a wasteful number, since it uses less digits than its factorization.

2196015639840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24712 (or 24701 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 2196015639840 in words is "two trillion, one hundred ninety-six billion, fifteen million, six hundred thirty-nine thousand, eight hundred forty".