2502024000 has 448 divisors, whose sum is σ = 9654308352. Its totient is φ = 559104000.

The previous prime is 2502023971. The next prime is 2502024017. The reversal of 2502024000 is 4202052.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8903860 + ... + 8904140.

Almost surely, 2^2502024000 is an apocalyptic number.

2502024000 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 2502024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4827154176).

2502024000 is an abundant number, since it is smaller than the sum of its proper divisors (7152284352).

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

2502024000 is a wasteful number, since it uses less digits than its factorization.

2502024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2502024000 is about 50020.2359050815. The cubic root of 2502024000 is about 1357.5749749161.

Adding to 2502024000 its reverse (4202052), we get a palindrome (2506226052).

The spelling of 2502024000 in words is "two billion, five hundred two million, twenty-four thousand".