2957409000 has 768 divisors, whose sum is σ = 12919495680. Its totient is φ = 593049600.

The previous prime is 2957408989. The next prime is 2957409017. The reversal of 2957409000 is 9047592.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18836922 + ... + 18837078.

It is an arithmetic number, because the mean of its divisors is an integer number (16822260).

Almost surely, 2^2957409000 is an apocalyptic number.

2957409000 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 2957409000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6459747840).

2957409000 is an abundant number, since it is smaller than the sum of its proper divisors (9962086680).

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

2957409000 is a wasteful number, since it uses less digits than its factorization.

2957409000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2957409000 is about 54382.0650582524. The cubic root of 2957409000 is about 1435.3918082553.

The spelling of 2957409000 in words is "two billion, nine hundred fifty-seven million, four hundred nine thousand".