2642411520 has 288 divisors, whose sum is σ = 10468982160. Its totient is φ = 603979776.

The previous prime is 2642411509. The next prime is 2642411537. The reversal of 2642411520 is 251142462.

It is a Jordan-Polya number, since it can be written as 8! ⋅ (2!)¹⁶.

2642411520 is a `hidden beast` number, since 2 + 642 + 4 + 1 + 15 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377487357 + ... + 377487363.

Almost surely, 2^2642411520 is an apocalyptic number.

2642411520 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 2642411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234491080).

2642411520 is an abundant number, since it is smaller than the sum of its proper divisors (7826570640).

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

2642411520 is an frugal number, since it uses more digits than its factorization.

2642411520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2642411520 is about 51404.3920302536. The cubic root of 2642411520 is about 1382.5053417668.

Adding to 2642411520 its reverse (251142462), we get a palindrome (2893553982).

The spelling of 2642411520 in words is "two billion, six hundred forty-two million, four hundred eleven thousand, five hundred twenty".