2690212331520 has 1536 divisors, whose sum is σ = 11335772448000. Its totient is φ = 611784327168.

The previous prime is 2690212331507. The next prime is 2690212331533. The reversal of 2690212331520 is 251332120962.

2690212331520 is a `hidden beast` number, since 2 + 6 + 9 + 0 + 2 + 123 + 3 + 1 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (2690212331507) and next prime (2690212331533).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13655900062 + ... + 13655900258.

Almost surely, 2^{2690212331520} is an apocalyptic number.

2690212331520 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 2690212331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667886224000).

2690212331520 is an abundant number, since it is smaller than the sum of its proper divisors (8645560116480).

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

2690212331520 is an frugal number, since it uses more digits than its factorization.

2690212331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 2690212331520 in words is "two trillion, six hundred ninety billion, two hundred twelve million, three hundred thirty-one thousand, five hundred twenty".