2690382864384 has 560 divisors, whose sum is σ = 8620813238400. Its totient is φ = 833081573376.

The previous prime is 2690382864371. The next prime is 2690382864397. The reversal of 2690382864384 is 4834682830962.

2690382864384 is a `hidden beast` number, since 2 + 6 + 90 + 38 + 2 + 86 + 438 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2690382864371) and next prime (2690382864397).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 891148827 + ... + 891151845.

Almost surely, 2^{2690382864384} is an apocalyptic number.

2690382864384 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 2690382864384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310406619200).

2690382864384 is an abundant number, since it is smaller than the sum of its proper divisors (5930430374016).

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

2690382864384 is an equidigital number, since it uses as much as digits as its factorization.

2690382864384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 2690382864384 in words is "two trillion, six hundred ninety billion, three hundred eighty-two million, eight hundred sixty-four thousand, three hundred eighty-four".