2961925200 has 360 divisors, whose sum is σ = 11655469280. Its totient is φ = 690508800.

The previous prime is 2961925189. The next prime is 2961925207. The reversal of 2961925200 is 25291692.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2961925207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 887535 + ... + 890865.

Almost surely, 2^2961925200 is an apocalyptic number.

2961925200 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 2961925200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827734640).

2961925200 is an abundant number, since it is smaller than the sum of its proper divisors (8693544080).

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

2961925200 is a wasteful number, since it uses less digits than its factorization.

2961925200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2961925200 is about 54423.5720988617. The cubic root of 2961925200 is about 1436.1220893343.

The spelling of 2961925200 in words is "two billion, nine hundred sixty-one million, nine hundred twenty-five thousand, two hundred".