2697396266880 has 1536 divisors, whose sum is σ = 12198846965760. Its totient is φ = 554963042304.

The previous prime is 2697396266867. The next prime is 2697396266959. The reversal of 2697396266880 is 886626937962.

It is a super-3 number, since 3×2697396266880³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2697396266799 and 2697396266808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 425655072 + ... + 425661408.

It is an arithmetic number, because the mean of its divisors is an integer number (7941957660).

Almost surely, 2^{2697396266880} is an apocalyptic number.

2697396266880 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 2697396266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099423482880).

2697396266880 is an abundant number, since it is smaller than the sum of its proper divisors (9501450698880).

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

2697396266880 is a wasteful number, since it uses less digits than its factorization.

2697396266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6418 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 2697396266880 in words is "two trillion, six hundred ninety-seven billion, three hundred ninety-six million, two hundred sixty-six thousand, eight hundred eighty".