2354681920 has 56 divisors (see below), whose sum is σ = 5644335168. Its totient is φ = 935616000.

The previous prime is 2354681893. The next prime is 2354681921. The reversal of 2354681920 is 291864532.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2354681921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23955 + ... + 72685.

Almost surely, 2^2354681920 is an apocalyptic number.

2354681920 is a gapful number since it is divisible by the number (20) 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 2354681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822167584).

2354681920 is an abundant number, since it is smaller than the sum of its proper divisors (3289653248).

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

2354681920 is a wasteful number, since it uses less digits than its factorization.

2354681920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48899 (or 48889 counting only the distinct ones).

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

The square root of 2354681920 is about 48525.0648634291. The cubic root of 2354681920 is about 1330.3852352313.

The spelling of 2354681920 in words is "two billion, three hundred fifty-four million, six hundred eighty-one thousand, nine hundred twenty".