2471292720 has 640 divisors, whose sum is σ = 10079354880. Its totient is φ = 550748160.

The previous prime is 2471292709. The next prime is 2471292757. The reversal of 2471292720 is 272921742.

2471292720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2471292720² = 12214575415849996800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14798077 + ... + 14798243.

It is an arithmetic number, because the mean of its divisors is an integer number (15748992).

Almost surely, 2^2471292720 is an apocalyptic number.

2471292720 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 2471292720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039677440).

2471292720 is an abundant number, since it is smaller than the sum of its proper divisors (7608062160).

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

2471292720 is a wasteful number, since it uses less digits than its factorization.

2471292720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2471292720 is about 49712.0983262626. The cubic root of 2471292720 is about 1351.9938931601.

The spelling of 2471292720 in words is "two billion, four hundred seventy-one million, two hundred ninety-two thousand, seven hundred twenty".