2582153420 has 96 divisors (see below), whose sum is σ = 7054580736. Its totient is φ = 769824000.

The previous prime is 2582153407. The next prime is 2582153423. The reversal of 2582153420 is 243512852.

It is not an unprimeable number, because it can be changed into a prime (2582153423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1031 + ... + 71870.

It is an arithmetic number, because the mean of its divisors is an integer number (73485216).

Almost surely, 2^2582153420 is an apocalyptic number.

2582153420 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 2582153420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527290368).

2582153420 is an abundant number, since it is smaller than the sum of its proper divisors (4472427316).

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

2582153420 is a wasteful number, since it uses less digits than its factorization.

2582153420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72951 (or 72949 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 2582153420 is about 50814.8936828564. The cubic root of 2582153420 is about 1371.9154516432.

The spelling of 2582153420 in words is "two billion, five hundred eighty-two million, one hundred fifty-three thousand, four hundred twenty".