2677920 has 96 divisors (see below), whose sum is σ = 9652608. Its totient is φ = 611328.

The previous prime is 2677903. The next prime is 2677937. The reversal of 2677920 is 297762.

It is an interprime number because it is at equal distance from previous prime (2677903) and next prime (2677937).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2962 + ... + 3758.

It is an arithmetic number, because the mean of its divisors is an integer number (100548).

2^2677920 is an apocalyptic number.

2677920 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 2677920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826304).

2677920 is an abundant number, since it is smaller than the sum of its proper divisors (6974688).

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

2677920 is a wasteful number, since it uses less digits than its factorization.

2677920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 2677920 is about 1636.4351499525. The cubic root of 2677920 is about 138.8670467578.

The spelling of 2677920 in words is "two million, six hundred seventy-seven thousand, nine hundred twenty".