5002921440 has 288 divisors, whose sum is σ = 18774467712. Its totient is φ = 1203072000.

The previous prime is 5002921421. The next prime is 5002921447. The reversal of 5002921440 is 441292005.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5002921447) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2073835 + ... + 2076245.

It is an arithmetic number, because the mean of its divisors is an integer number (65189124).

Almost surely, 2^5002921440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5002921440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9387233856).

5002921440 is an abundant number, since it is smaller than the sum of its proper divisors (13771546272).

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

5002921440 is a wasteful number, since it uses less digits than its factorization.

5002921440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5002921440 is about 70731.3328023727. The cubic root of 5002921440 is about 1710.3089213094.

The spelling of 5002921440 in words is "five billion, two million, nine hundred twenty-one thousand, four hundred forty".