2952859000 has 256 divisors, whose sum is σ = 8744037120. Its totient is φ = 908236800.

The previous prime is 2952858959. The next prime is 2952859003. The reversal of 2952859000 is 9582592.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2952859003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3366562 + ... + 3367438.

It is an arithmetic number, because the mean of its divisors is an integer number (34156395).

Almost surely, 2^2952859000 is an apocalyptic number.

2952859000 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 2952859000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372018560).

2952859000 is an abundant number, since it is smaller than the sum of its proper divisors (5791178120).

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

2952859000 is a wasteful number, since it uses less digits than its factorization.

2952859000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 2952859000 is about 54340.2153105782. The cubic root of 2952859000 is about 1434.6553094096.

The spelling of 2952859000 in words is "two billion, nine hundred fifty-two million, eight hundred fifty-nine thousand".