2921825088 has 448 divisors, whose sum is σ = 11203960320. Its totient is φ = 724598784.

The previous prime is 2921825087. The next prime is 2921825129. The reversal of 2921825088 is 8805281292.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2921825087) by changing a digit.

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, 2672670 + ... + 2673762.

It is an arithmetic number, because the mean of its divisors is an integer number (25008840).

Almost surely, 2^2921825088 is an apocalyptic number.

2921825088 is a gapful number since it is divisible by the number (28) 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 2921825088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601980160).

2921825088 is an abundant number, since it is smaller than the sum of its proper divisors (8282135232).

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

2921825088 is a wasteful number, since it uses less digits than its factorization.

2921825088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 2921825088 is about 54053.9090908326. The cubic root of 2921825088 is about 1429.6116258299.

The spelling of 2921825088 in words is "two billion, nine hundred twenty-one million, eight hundred twenty-five thousand, eighty-eight".