2725408 has 48 divisors (see below), whose sum is σ = 6410880. Its totient is φ = 1117248.

The previous prime is 2725369. The next prime is 2725433. The reversal of 2725408 is 8045272.

It is a super-3 number, since 3×2725408³ = 60731755352733351936, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 118485 + ... + 118507.

It is an arithmetic number, because the mean of its divisors is an integer number (133560).

2^2725408 is an apocalyptic number.

2725408 is a gapful number since it is divisible by the number (28) 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 2725408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205440).

2725408 is an abundant number, since it is smaller than the sum of its proper divisors (3685472).

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

2725408 is an frugal number, since it uses more digits than its factorization.

2725408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 2725408 is about 1650.8809769332. The cubic root of 2725408 is about 139.6830927063.

2725408 divided by its sum of digits (28) gives a cube (97336 = 46³).

It can be divided in two parts, 2 and 725408, that added together give a triangular number (725410 = T₁₂₀₄).

The spelling of 2725408 in words is "two million, seven hundred twenty-five thousand, four hundred eight".