2677479672 has 128 divisors (see below), whose sum is σ = 7919861760. Its totient is φ = 738149760.

The previous prime is 2677479671. The next prime is 2677479689. The reversal of 2677479672 is 2769747762.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2677479671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2723293 + ... + 2724275.

It is an arithmetic number, because the mean of its divisors is an integer number (61873920).

Almost surely, 2^2677479672 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 2677479672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959930880).

2677479672 is an abundant number, since it is smaller than the sum of its proper divisors (5242382088).

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

2677479672 is a wasteful number, since it uses less digits than its factorization.

2677479672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1549 counting only the distinct ones).

The product of its digits is 12446784, while the sum is 57.

The square root of 2677479672 is about 51744.3685051813. The cubic root of 2677479672 is about 1388.5943507900.

The spelling of 2677479672 in words is "two billion, six hundred seventy-seven million, four hundred seventy-nine thousand, six hundred seventy-two".