2945358000 has 480 divisors, whose sum is σ = 11385646272. Its totient is φ = 705024000.

The previous prime is 2945357951. The next prime is 2945358011. The reversal of 2945358000 is 8535492.

2945358000 is a `hidden beast` number, since 29 + 4 + 53 + 580 + 0 + 0 = 666.

2945358000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9593847 + ... + 9594153.

Almost surely, 2^2945358000 is an apocalyptic number.

2945358000 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 2945358000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5692823136).

2945358000 is an abundant number, since it is smaller than the sum of its proper divisors (8440288272).

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

2945358000 is a wasteful number, since it uses less digits than its factorization.

2945358000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2945358000 is about 54271.1525582422. The cubic root of 2945358000 is about 1433.4394849572.

The spelling of 2945358000 in words is "two billion, nine hundred forty-five million, three hundred fifty-eight thousand".