2677097952 has 216 divisors, whose sum is σ = 8124257232. Its totient is φ = 867801600.

The previous prime is 2677097939. The next prime is 2677097977. The reversal of 2677097952 is 2597907762.

It is a tau number, because it is divible by the number of its divisors (216).

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 35 ways as a sum of consecutive naturals, for example, 8607877 + ... + 8608187.

It is an arithmetic number, because the mean of its divisors is an integer number (37612302).

Almost surely, 2^2677097952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2677097952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062128616).

2677097952 is an abundant number, since it is smaller than the sum of its proper divisors (5447159280).

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

2677097952 is an frugal number, since it uses more digits than its factorization.

2677097952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 2677097952 is about 51740.6798563761. The cubic root of 2677097952 is about 1388.5283584524.

The spelling of 2677097952 in words is "two billion, six hundred seventy-seven million, ninety-seven thousand, nine hundred fifty-two".