2933413920 has 384 divisors, whose sum is σ = 11071468800. Its totient is φ = 722681856.

The previous prime is 2933413891. The next prime is 2933413939. The reversal of 2933413920 is 293143392.

2933413920 is a `hidden beast` number, since 293 + 341 + 3 + 9 + 20 = 666.

It is a Cunningham number, because it is equal to 54161²-1.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4332622 + ... + 4333298.

It is an arithmetic number, because the mean of its divisors is an integer number (28831950).

Almost surely, 2^2933413920 is an apocalyptic number.

2933413920 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 2933413920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535734400).

2933413920 is an abundant number, since it is smaller than the sum of its proper divisors (8138054880).

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

2933413920 is a wasteful number, since it uses less digits than its factorization.

2933413920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 2933413920 is about 54160.9999907683. Note that the first 5 decimals coincide. The cubic root of 2933413920 is about 1431.4992215018.

The spelling of 2933413920 in words is "two billion, nine hundred thirty-three million, four hundred thirteen thousand, nine hundred twenty".