2961028224 has 320 divisors, whose sum is σ = 10989316800. Its totient is φ = 768890880.

The previous prime is 2961028223. The next prime is 2961028249. The reversal of 2961028224 is 4228201692.

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

It is not an unprimeable number, because it can be changed into a prime (2961028223) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 796482 + ... + 800190.

It is an arithmetic number, because the mean of its divisors is an integer number (34341615).

Almost surely, 2^2961028224 is an apocalyptic number.

2961028224 is a gapful number since it is divisible by the number (24) 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 2961028224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494658400).

2961028224 is an abundant number, since it is smaller than the sum of its proper divisors (8028288576).

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

2961028224 is a wasteful number, since it uses less digits than its factorization.

2961028224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2961028224 is about 54415.3307809481. The cubic root of 2961028224 is about 1435.9771051302.

The spelling of 2961028224 in words is "two billion, nine hundred sixty-one million, twenty-eight thousand, two hundred twenty-four".