2351920648 has 192 divisors, whose sum is σ = 5919868800. Its totient is φ = 849945600.

The previous prime is 2351920609. The next prime is 2351920667. The reversal of 2351920648 is 8460291532.

It is a self number, because there is not a number n which added to its sum of digits gives 2351920648.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17167236 + ... + 17167372.

It is an arithmetic number, because the mean of its divisors is an integer number (30832650).

Almost surely, 2^2351920648 is an apocalyptic number.

2351920648 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 2351920648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959934400).

2351920648 is an abundant number, since it is smaller than the sum of its proper divisors (3567948152).

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

2351920648 is a wasteful number, since it uses less digits than its factorization.

2351920648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 2351920648 is about 48496.6044996967. The cubic root of 2351920648 is about 1329.8649961898.

The spelling of 2351920648 in words is "two billion, three hundred fifty-one million, nine hundred twenty thousand, six hundred forty-eight".