2511471480 has 192 divisors, whose sum is σ = 8793722880. Its totient is φ = 572140800.

The previous prime is 2511471449. The next prime is 2511471497. The reversal of 2511471480 is 841741152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2533785 + ... + 2534775.

It is an arithmetic number, because the mean of its divisors is an integer number (45800640).

Almost surely, 2^2511471480 is an apocalyptic number.

2511471480 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 2511471480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396861440).

2511471480 is an abundant number, since it is smaller than the sum of its proper divisors (6282251400).

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

2511471480 is a wasteful number, since it uses less digits than its factorization.

2511471480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 2511471480 is about 50114.5835062011. The cubic root of 2511471480 is about 1359.2815337190.

The spelling of 2511471480 in words is "two billion, five hundred eleven million, four hundred seventy-one thousand, four hundred eighty".