2658981024 has 288 divisors, whose sum is σ = 9092603520. Its totient is φ = 721115136.

The previous prime is 2658980993. The next prime is 2658981053. The reversal of 2658981024 is 4201898562.

2658981024 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3207042 + ... + 3207870.

It is an arithmetic number, because the mean of its divisors is an integer number (31571540).

Almost surely, 2^2658981024 is an apocalyptic number.

2658981024 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 2658981024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546301760).

2658981024 is an abundant number, since it is smaller than the sum of its proper divisors (6433622496).

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

2658981024 is a wasteful number, since it uses less digits than its factorization.

2658981024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2658981024 is about 51565.3083380678. The cubic root of 2658981024 is about 1385.3890350175.

The spelling of 2658981024 in words is "two billion, six hundred fifty-eight million, nine hundred eighty-one thousand, twenty-four".