2354421888 has 384 divisors, whose sum is σ = 8578053120. Its totient is φ = 603168768.

The previous prime is 2354421863. The next prime is 2354421889. The reversal of 2354421888 is 8881244532.

2354421888 is a `hidden beast` number, since 2 + 3 + 544 + 21 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2354421889) 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, 3878481 + ... + 3879087.

It is an arithmetic number, because the mean of its divisors is an integer number (22338680).

Almost surely, 2^2354421888 is an apocalyptic number.

2354421888 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 2354421888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289026560).

2354421888 is an abundant number, since it is smaller than the sum of its proper divisors (6223631232).

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

2354421888 is a wasteful number, since it uses less digits than its factorization.

2354421888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 669 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 2354421888 is about 48522.3854318808. The cubic root of 2354421888 is about 1330.3362611051.

The spelling of 2354421888 in words is "two billion, three hundred fifty-four million, four hundred twenty-one thousand, eight hundred eighty-eight".