2778720 has 96 divisors (see below), whose sum is σ = 10015488. Its totient is φ = 634368.

The previous prime is 2778697. The next prime is 2778739. The reversal of 2778720 is 278772.

It is a happy number.

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

It is a congruent number.

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, 2947 + ... + 3773.

It is an arithmetic number, because the mean of its divisors is an integer number (104328).

2^2778720 is an apocalyptic number.

2778720 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 2778720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007744).

2778720 is an abundant number, since it is smaller than the sum of its proper divisors (7236768).

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

2778720 is a wasteful number, since it uses less digits than its factorization.

2778720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 2778720 is about 1666.9493093673. The cubic root of 2778720 is about 140.5880031069.

The spelling of 2778720 in words is "two million, seven hundred seventy-eight thousand, seven hundred twenty".