2949534000 has 840 divisors, whose sum is σ = 12981797088. Its totient is φ = 634521600.

The previous prime is 2949533981. The next prime is 2949534011. The reversal of 2949534000 is 4359492.

2949534000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

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 167 ways as a sum of consecutive naturals, for example, 173501992 + ... + 173502008.

Almost surely, 2^2949534000 is an apocalyptic number.

2949534000 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 2949534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6490898544).

2949534000 is an abundant number, since it is smaller than the sum of its proper divisors (10032263088).

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

2949534000 is an equidigital number, since it uses as much as digits as its factorization.

2949534000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

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

The square root of 2949534000 is about 54309.6124088545. The cubic root of 2949534000 is about 1434.1166201264.

The spelling of 2949534000 in words is "two billion, nine hundred forty-nine million, five hundred thirty-four thousand".