2951684064 has 288 divisors, whose sum is σ = 10034309376. Its totient is φ = 836075520.

The previous prime is 2951684063. The next prime is 2951684137. The reversal of 2951684064 is 4604861592.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2951684063) 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, 11485024 + ... + 11485280.

It is an arithmetic number, because the mean of its divisors is an integer number (34841352).

Almost surely, 2^2951684064 is an apocalyptic number.

2951684064 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 2951684064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017154688).

2951684064 is an abundant number, since it is smaller than the sum of its proper divisors (7082625312).

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

2951684064 is a wasteful number, since it uses less digits than its factorization.

2951684064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2951684064 is about 54329.4033098101. The cubic root of 2951684064 is about 1434.4650021188.

The spelling of 2951684064 in words is "two billion, nine hundred fifty-one million, six hundred eighty-four thousand, sixty-four".