2690839116000 has 1440 divisors, whose sum is σ = 11563397340768. Its totient is φ = 614515507200.

The previous prime is 2690839115999. The next prime is 2690839116059. The reversal of 2690839116000 is 6119380962.

It is a happy number.

2690839116000 is a `hidden beast` number, since 2 + 6 + 9 + 0 + 8 + 39 + 1 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×2690839116000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2333771424 + ... + 2333772576.

Almost surely, 2^{2690839116000} is an apocalyptic number.

2690839116000 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 2690839116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781698670384).

2690839116000 is an abundant number, since it is smaller than the sum of its proper divisors (8872558224768).

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

2690839116000 is an frugal number, since it uses more digits than its factorization.

2690839116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 2690839116000 in words is "two trillion, six hundred ninety billion, eight hundred thirty-nine million, one hundred sixteen thousand".