2677721640 has 256 divisors, whose sum is σ = 9256550400. Its totient is φ = 613324800.

The previous prime is 2677721539. The next prime is 2677721653. The reversal of 2677721640 is 461277762.

2677721640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2677721640³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2677721592 and 2677721601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2701545 + ... + 2702535.

It is an arithmetic number, because the mean of its divisors is an integer number (36158400).

Almost surely, 2^2677721640 is an apocalyptic number.

2677721640 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 2677721640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628275200).

2677721640 is an abundant number, since it is smaller than the sum of its proper divisors (6578828760).

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

2677721640 is a wasteful number, since it uses less digits than its factorization.

2677721640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 2677721640 is about 51746.7065618673. The cubic root of 2677721640 is about 1388.6361793400.

The spelling of 2677721640 in words is "two billion, six hundred seventy-seven million, seven hundred twenty-one thousand, six hundred forty".