2115679587840 has 1920 divisors, whose sum is σ = 9538061524992. Its totient is φ = 421382062080.

The previous prime is 2115679587821. The next prime is 2115679587881. The reversal of 2115679587840 is 487859765112.

2115679587840 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 6 + 7 + 9 + 587 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×2115679587840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 2794820742 + ... + 2794821498.

Almost surely, 2^{2115679587840} is an apocalyptic number.

2115679587840 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 2115679587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769030762496).

2115679587840 is an abundant number, since it is smaller than the sum of its proper divisors (7422381937152).

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

2115679587840 is a wasteful number, since it uses less digits than its factorization.

2115679587840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 2115679587840 in words is "two trillion, one hundred fifteen billion, six hundred seventy-nine million, five hundred eighty-seven thousand, eight hundred forty".