2677044480 has 144 divisors (see below), whose sum is σ = 9327213504. Its totient is φ = 648970240.

The previous prime is 2677044479. The next prime is 2677044511. The reversal of 2677044480 is 844407762.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10552 + ... + 73928.

It is an arithmetic number, because the mean of its divisors is an integer number (64772316).

Almost surely, 2^2677044480 is an apocalyptic number.

2677044480 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 2677044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663606752).

2677044480 is an abundant number, since it is smaller than the sum of its proper divisors (6650169024).

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

2677044480 is a wasteful number, since it uses less digits than its factorization.

2677044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63412 (or 63398 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 2677044480 is about 51740.1631230517. The cubic root of 2677044480 is about 1388.5191136304.

The spelling of 2677044480 in words is "two billion, six hundred seventy-seven million, forty-four thousand, four hundred eighty".