2697628862916 has 135 divisors (see below), whose sum is σ = 7637423328381. Its totient is φ = 829921394016.

The previous prime is 2697628862879. The next prime is 2697628862917. The reversal of 2697628862916 is 6192688267962.

It is a happy number.

The square root of 2697628862916 is 1642446.

It is a perfect power (a square), and thus also a powerful number.

2697628862916 is a `hidden beast` number, since 269 + 76 + 2 + 8 + 8 + 6 + 291 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 399057524100 + 2298571338816 = 631710^2 + 1516104^2 .

It is a super-2 number, since 2×2697628862916² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2697628862917) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 384328855 + ... + 384335873.

Almost surely, 2^{2697628862916} is an apocalyptic number.

2697628862916 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2697628862916 is the 1642446-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2697628862916

2697628862916 is an abundant number, since it is smaller than the sum of its proper divisors (4939794465465).

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

2697628862916 is an frugal number, since it uses more digits than its factorization.

2697628862916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14080 (or 7037 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 2697628862916 in words is "two trillion, six hundred ninety-seven billion, six hundred twenty-eight million, eight hundred sixty-two thousand, nine hundred sixteen".