2967278000 has 80 divisors (see below), whose sum is σ = 7186682880. Its totient is φ = 1184960000.

The previous prime is 2967277997. The next prime is 2967278009. The reversal of 2967278000 is 8727692.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2967278009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2301356 + ... + 2302644.

It is an arithmetic number, because the mean of its divisors is an integer number (89833536).

Almost surely, 2^2967278000 is an apocalyptic number.

2967278000 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 2967278000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593341440).

2967278000 is an abundant number, since it is smaller than the sum of its proper divisors (4219404880).

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

2967278000 is a wasteful number, since it uses less digits than its factorization.

2967278000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 2967278000 is about 54472.7271210098. The cubic root of 2967278000 is about 1436.9866900724.

The spelling of 2967278000 in words is "two billion, nine hundred sixty-seven million, two hundred seventy-eight thousand".