2827669680 has 720 divisors, whose sum is σ = 11674181376. Its totient is φ = 606735360.

The previous prime is 2827669631. The next prime is 2827669693. The reversal of 2827669680 is 869667282.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65759739 + ... + 65759781.

Almost surely, 2^2827669680 is an apocalyptic number.

2827669680 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 2827669680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837090688).

2827669680 is an abundant number, since it is smaller than the sum of its proper divisors (8846511696).

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

2827669680 is a wasteful number, since it uses less digits than its factorization.

2827669680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 2827669680 is about 53175.8373699935. The cubic root of 2827669680 is about 1414.0873103114.

The spelling of 2827669680 in words is "two billion, eight hundred twenty-seven million, six hundred sixty-nine thousand, six hundred eighty".