2677948416 has 360 divisors, whose sum is σ = 9160080384. Its totient is φ = 743178240.

The previous prime is 2677948391. The next prime is 2677948417. The reversal of 2677948416 is 6148497762.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2677948417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21086145 + ... + 21086271.

Almost surely, 2^2677948416 is an apocalyptic number.

2677948416 is a gapful number since it is divisible by the number (26) 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 2677948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580040192).

2677948416 is an abundant number, since it is smaller than the sum of its proper divisors (6482131968).

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

2677948416 is a wasteful number, since it uses less digits than its factorization.

2677948416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 156 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2677948416 is about 51748.8977273913. The cubic root of 2677948416 is about 1388.6753793903.

The spelling of 2677948416 in words is "two billion, six hundred seventy-seven million, nine hundred forty-eight thousand, four hundred sixteen".