2506413024 has 96 divisors (see below), whose sum is σ = 7318967040. Its totient is φ = 834489216.

The previous prime is 2506412981. The next prime is 2506413029. The reversal of 2506413024 is 4203146052.

2506413024 is a `hidden beast` number, since 2 + 506 + 4 + 130 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506413029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1404837 + ... + 1406619.

It is an arithmetic number, because the mean of its divisors is an integer number (76239240).

Almost surely, 2^2506413024 is an apocalyptic number.

2506413024 is a gapful number since it is divisible by the number (24) 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 2506413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659483520).

2506413024 is an abundant number, since it is smaller than the sum of its proper divisors (4812554016).

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

2506413024 is a wasteful number, since it uses less digits than its factorization.

2506413024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2506413024 is about 50064.0891657883. The cubic root of 2506413024 is about 1358.3683257482.

Adding to 2506413024 its reverse (4203146052), we get a palindrome (6709559076).

The spelling of 2506413024 in words is "two billion, five hundred six million, four hundred thirteen thousand, twenty-four".