2945943000 has 1024 divisors, whose sum is σ = 13837824000. Its totient is φ = 559872000.

The previous prime is 2945942981. The next prime is 2945943019. The reversal of 2945943000 is 3495492.

It is an interprime number because it is at equal distance from previous prime (2945942981) and next prime (2945943019).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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 255 ways as a sum of consecutive naturals, for example, 27026946 + ... + 27027054.

It is an arithmetic number, because the mean of its divisors is an integer number (13513500).

Almost surely, 2^2945943000 is an apocalyptic number.

2945943000 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 2945943000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918912000).

2945943000 is an abundant number, since it is smaller than the sum of its proper divisors (10891881000).

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

2945943000 is a wasteful number, since it uses less digits than its factorization.

2945943000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2945943000 is about 54276.5418942659. The cubic root of 2945943000 is about 1433.5343807885.

The spelling of 2945943000 in words is "two billion, nine hundred forty-five million, nine hundred forty-three thousand".