2690385933312 has 880 divisors, whose sum is σ = 10544095034880. Its totient is φ = 661992652800.

The previous prime is 2690385933259. The next prime is 2690385933337. The reversal of 2690385933312 is 2133395830962.

2690385933312 is a `hidden beast` number, since 2 + 6 + 9 + 0 + 3 + 8 + 593 + 33 + 12 = 666.

2690385933312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2690385933312² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 121335987 + ... + 121358157.

It is an arithmetic number, because the mean of its divisors is an integer number (11981926176).

Almost surely, 2^{2690385933312} is an apocalyptic number.

2690385933312 is a gapful number since it is divisible by the number (22) 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 2690385933312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272047517440).

2690385933312 is an abundant number, since it is smaller than the sum of its proper divisors (7853709101568).

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

2690385933312 is a wasteful number, since it uses less digits than its factorization.

2690385933312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22240 (or 22213 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 2690385933312 in words is "two trillion, six hundred ninety billion, three hundred eighty-five million, nine hundred thirty-three thousand, three hundred twelve".