2679521949468 has 384 divisors, whose sum is σ = 9057718333440. Its totient is φ = 664769617920.

The previous prime is 2679521949443. The next prime is 2679521949493. The reversal of 2679521949468 is 8649491259762.

2679521949468 is a `hidden beast` number, since 2 + 6 + 7 + 9 + 521 + 9 + 4 + 94 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2679521949443) and next prime (2679521949493).

It is a super-2 number, since 2×2679521949468² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2679521949396 and 2679521949405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 493372713 + ... + 493378143.

It is an arithmetic number, because the mean of its divisors is an integer number (23587808160).

Almost surely, 2^{2679521949468} is an apocalyptic number.

2679521949468 is a gapful number since it is divisible by the number (28) 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 2679521949468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528859166720).

2679521949468 is an abundant number, since it is smaller than the sum of its proper divisors (6378196383972).

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

2679521949468 is a wasteful number, since it uses less digits than its factorization.

2679521949468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8434 (or 8426 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 2679521949468 in words is "two trillion, six hundred seventy-nine billion, five hundred twenty-one million, nine hundred forty-nine thousand, four hundred sixty-eight".