2952950112 has 288 divisors, whose sum is σ = 9906624000. Its totient is φ = 833962752.

The previous prime is 2952950101. The next prime is 2952950123. The reversal of 2952950112 is 2110592592.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2952950101) and next prime (2952950123).

It is a tau number, because it is divible by the number of its divisors (288).

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, 16496839 + ... + 16497017.

It is an arithmetic number, because the mean of its divisors is an integer number (34398000).

Almost surely, 2^2952950112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2952950112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312000).

2952950112 is an abundant number, since it is smaller than the sum of its proper divisors (6953673888).

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

2952950112 is a wasteful number, since it uses less digits than its factorization.

2952950112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 2952950112 is about 54341.0536519122. The cubic root of 2952950112 is about 1434.6700649364.

The spelling of 2952950112 in words is "two billion, nine hundred fifty-two million, nine hundred fifty thousand, one hundred twelve".