2778480 has 120 divisors (see below), whose sum is σ = 9923472. Its totient is φ = 694272.

The previous prime is 2778467. The next prime is 2778481. The reversal of 2778480 is 848772.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2778480² = 15439902220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2778481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12127 + ... + 12353.

2^2778480 is an apocalyptic number.

2778480 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 2778480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4961736).

2778480 is an abundant number, since it is smaller than the sum of its proper divisors (7144992).

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

2778480 is a wasteful number, since it uses less digits than its factorization.

2778480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 2778480 is about 1666.8773200209. The cubic root of 2778480 is about 140.5839554288.

The spelling of 2778480 in words is "two million, seven hundred seventy-eight thousand, four hundred eighty".