2471420160 has 540 divisors, whose sum is σ = 9769545324. Its totient is φ = 596090880.

The previous prime is 2471420153. The next prime is 2471420179. The reversal of 2471420160 is 610241742.

It can be written as a sum of positive squares in 2 ways, for example, as 1829101824 + 642318336 = 42768^2 + 25344^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×2471420160² = 12215835214508851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12545182 + ... + 12545378.

Almost surely, 2^2471420160 is an apocalyptic number.

2471420160 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 2471420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4884772662).

2471420160 is an abundant number, since it is smaller than the sum of its proper divisors (7298125164).

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

2471420160 is a wasteful number, since it uses less digits than its factorization.

2471420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2471420160 is about 49713.3800902735. The cubic root of 2471420160 is about 1352.0171327031.

The spelling of 2471420160 in words is "two billion, four hundred seventy-one million, four hundred twenty thousand, one hundred sixty".