2293951968 has 576 divisors, whose sum is σ = 8849917440. Its totient is φ = 561254400.

The previous prime is 2293951879. The next prime is 2293951969. The reversal of 2293951968 is 8691593922.

It is a happy number.

2293951968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293951969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55950028 + ... + 55950068.

It is an arithmetic number, because the mean of its divisors is an integer number (15364440).

Almost surely, 2^2293951968 is an apocalyptic number.

2293951968 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 2293951968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424958720).

2293951968 is an abundant number, since it is smaller than the sum of its proper divisors (6555965472).

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

2293951968 is a wasteful number, since it uses less digits than its factorization.

2293951968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 93 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 2293951968 is about 47895.2186340140. The cubic root of 2293951968 is about 1318.8480859697.

The spelling of 2293951968 in words is "two billion, two hundred ninety-three million, nine hundred fifty-one thousand, nine hundred sixty-eight".