2956988320 has 288 divisors, whose sum is σ = 8558645760. Its totient is φ = 958003200.

The previous prime is 2956988299. The next prime is 2956988323. The reversal of 2956988320 is 238896592.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2956988323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7801891 + ... + 7802269.

It is an arithmetic number, because the mean of its divisors is an integer number (29717520).

Almost surely, 2^2956988320 is an apocalyptic number.

2956988320 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 2956988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279322880).

2956988320 is an abundant number, since it is smaller than the sum of its proper divisors (5601657440).

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

2956988320 is a wasteful number, since it uses less digits than its factorization.

2956988320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The square root of 2956988320 is about 54378.1971014119. The cubic root of 2956988320 is about 1435.3237453823.

The spelling of 2956988320 in words is "two billion, nine hundred fifty-six million, nine hundred eighty-eight thousand, three hundred twenty".