2958905040 has 320 divisors, whose sum is σ = 11479598592. Its totient is φ = 613785600.

The previous prime is 2958905023. The next prime is 2958905051. The reversal of 2958905040 is 405098592.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2958904983 and 2958905001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1331130 + ... + 1333350.

Almost surely, 2^2958905040 is an apocalyptic number.

2958905040 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 2958905040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739799296).

2958905040 is an abundant number, since it is smaller than the sum of its proper divisors (8520693552).

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

2958905040 is a wasteful number, since it uses less digits than its factorization.

2958905040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 2958905040 is about 54395.8182216244. The cubic root of 2958905040 is about 1435.6338040435.

The spelling of 2958905040 in words is "two billion, nine hundred fifty-eight million, nine hundred five thousand, forty".