2967552000 has 720 divisors, whose sum is σ = 12758683392. Its totient is φ = 648806400.

The previous prime is 2967551987. The next prime is 2967552041. The reversal of 2967552000 is 2557692.

It is a tau number, because it is divible by the number of its divisors (720).

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 47 ways as a sum of consecutive naturals, for example, 129023989 + ... + 129024011.

Almost surely, 2^2967552000 is an apocalyptic number.

2967552000 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 2967552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6379341696).

2967552000 is an abundant number, since it is smaller than the sum of its proper divisors (9791131392).

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

2967552000 is an equidigital number, since it uses as much as digits as its factorization.

2967552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 2967552000 is about 54475.2420829867. The cubic root of 2967552000 is about 1437.0309194115.

The spelling of 2967552000 in words is "two billion, nine hundred sixty-seven million, five hundred fifty-two thousand".