2561480 has 16 divisors (see below), whose sum is σ = 5763420. Its totient is φ = 1024576.

The previous prime is 2561431. The next prime is 2561491. The reversal of 2561480 is 841652.

2561480 = T₂₁₂ + T₂₁₃ + ... + T₂₉₁.

It can be written as a sum of positive squares in 2 ways, for example, as 2184484 + 376996 = 1478^2 + 614^2 .

It is a super-2 number, since 2×2561480² = 13122359580800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31979 + ... + 32058.

2^2561480 is an apocalyptic number.

2561480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2561480 is an abundant number, since it is smaller than the sum of its proper divisors (3201940).

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

2561480 is a wasteful number, since it uses less digits than its factorization.

2561480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64048 (or 64044 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 2561480 is about 1600.4624331736. The cubic root of 2561480 is about 136.8244327847.

The spelling of 2561480 in words is "two million, five hundred sixty-one thousand, four hundred eighty".