2562132480 has 160 divisors (see below), whose sum is σ = 8249472000. Its totient is φ = 678346752.

The previous prime is 2562132473. The next prime is 2562132481. The reversal of 2562132480 is 842312652.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (2562132481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1143201 + ... + 1145439.

It is an arithmetic number, because the mean of its divisors is an integer number (51559200).

Almost surely, 2^2562132480 is an apocalyptic number.

2562132480 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 2562132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124736000).

2562132480 is an abundant number, since it is smaller than the sum of its proper divisors (5687339520).

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

2562132480 is a wasteful number, since it uses less digits than its factorization.

2562132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2562132480 is about 50617.5115943089. The cubic root of 2562132480 is about 1368.3604945775.

The spelling of 2562132480 in words is "two billion, five hundred sixty-two million, one hundred thirty-two thousand, four hundred eighty".