2114587779072 has 896 divisors, whose sum is σ = 6535322870400. Its totient is φ = 604583755776.

The previous prime is 2114587779037. The next prime is 2114587779113. The reversal of 2114587779072 is 2709777854112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2114587778997 and 2114587779015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23759413204 + ... + 23759413292.

Almost surely, 2^{2114587779072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114587779072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267661435200).

2114587779072 is an abundant number, since it is smaller than the sum of its proper divisors (4420735091328).

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

2114587779072 is a wasteful number, since it uses less digits than its factorization.

2114587779072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 13829760, while the sum is 60.

The spelling of 2114587779072 in words is "two trillion, one hundred fourteen billion, five hundred eighty-seven million, seven hundred seventy-nine thousand, seventy-two".