2479776 has 48 divisors (see below), whose sum is σ = 7013664. Its totient is φ = 762624.

The previous prime is 2479769. The next prime is 2479781. The reversal of 2479776 is 6779742.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2479776² = 12298578020352, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2²¹ + 4⁹ + 7³ + 9² + 7⁴ + 7⁶ + 6 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255 + ... + 2241.

It is an arithmetic number, because the mean of its divisors is an integer number (146118).

2^2479776 is an apocalyptic number.

2479776 is a gapful number since it is divisible by the number (26) 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 2479776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506832).

2479776 is an abundant number, since it is smaller than the sum of its proper divisors (4533888).

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

2479776 is a wasteful number, since it uses less digits than its factorization.

2479776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2005 counting only the distinct ones).

The product of its digits is 148176, while the sum is 42.

The square root of 2479776 is about 1574.7304531252. The cubic root of 2479776 is about 135.3539136251.

It can be divided in two parts, 24 and 79776, that added together give a triangular number (79800 = T₃₉₉).

The spelling of 2479776 in words is "two million, four hundred seventy-nine thousand, seven hundred seventy-six".