2611452480 has 448 divisors, whose sum is σ = 10323210240. Its totient is φ = 544628736.

The previous prime is 2611452461. The next prime is 2611452497. The reversal of 2611452480 is 842541162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14589031 + ... + 14589209.

It is an arithmetic number, because the mean of its divisors is an integer number (23042880).

Almost surely, 2^2611452480 is an apocalyptic number.

2611452480 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 2611452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161605120).

2611452480 is an abundant number, since it is smaller than the sum of its proper divisors (7711757760).

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

2611452480 is a wasteful number, since it uses less digits than its factorization.

2611452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2611452480 is about 51102.3725476616. The cubic root of 2611452480 is about 1377.0848777059.

The spelling of 2611452480 in words is "two billion, six hundred eleven million, four hundred fifty-two thousand, four hundred eighty".