2571972480 has 512 divisors, whose sum is σ = 11362636800. Its totient is φ = 534159360.

The previous prime is 2571972457. The next prime is 2571972523. The reversal of 2571972480 is 842791752.

It is a happy number.

2571972480 is a `hidden beast` number, since 2 + 571 + 9 + 72 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1329594 + ... + 1331526.

It is an arithmetic number, because the mean of its divisors is an integer number (22192650).

Almost surely, 2^2571972480 is an apocalyptic number.

2571972480 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 2571972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5681318400).

2571972480 is an abundant number, since it is smaller than the sum of its proper divisors (8790664320).

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

2571972480 is a wasteful number, since it uses less digits than its factorization.

2571972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 2571972480 is about 50714.6180109838. The cubic root of 2571972480 is about 1370.1100094587.

The spelling of 2571972480 in words is "two billion, five hundred seventy-one million, nine hundred seventy-two thousand, four hundred eighty".