2086719990264 has 384 divisors, whose sum is σ = 7092977673600. Its totient is φ = 539502612480.

The previous prime is 2086719990247. The next prime is 2086719990307. The reversal of 2086719990264 is 4620999176802.

2086719990264 is a `hidden beast` number, since 20 + 86 + 7 + 199 + 90 + 264 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 646241802 + ... + 646245030.

It is an arithmetic number, because the mean of its divisors is an integer number (18471296025).

Almost surely, 2^{2086719990264} is an apocalyptic number.

2086719990264 is a gapful number since it is divisible by the number (24) 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 2086719990264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546488836800).

2086719990264 is an abundant number, since it is smaller than the sum of its proper divisors (5006257683336).

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

2086719990264 is a wasteful number, since it uses less digits than its factorization.

2086719990264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5175 (or 5168 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 2086719990264 in words is "two trillion, eighty-six billion, seven hundred nineteen million, nine hundred ninety thousand, two hundred sixty-four".