2958242400 has 216 divisors, whose sum is σ = 10535419440. Its totient is φ = 781009920.

The previous prime is 2958242377. The next prime is 2958242407. The reversal of 2958242400 is 42428592.

2958242400 is a `hidden beast` number, since 2 + 9 + 5 + 8 + 242 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2958242407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 739606 + ... + 743594.

It is an arithmetic number, because the mean of its divisors is an integer number (48775090).

Almost surely, 2^2958242400 is an apocalyptic number.

2958242400 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 2958242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267709720).

2958242400 is an abundant number, since it is smaller than the sum of its proper divisors (7577177040).

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

2958242400 is a wasteful number, since it uses less digits than its factorization.

2958242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2958242400 is about 54389.7269711845. The cubic root of 2958242400 is about 1435.5266270761.

The spelling of 2958242400 in words is "two billion, nine hundred fifty-eight million, two hundred forty-two thousand, four hundred".