2354020240 has 160 divisors (see below), whose sum is σ = 6459336576. Its totient is φ = 786554880.

The previous prime is 2354020217. The next prime is 2354020241. The reversal of 2354020240 is 420204532.

It is a super-2 number, since 2×2354020240² = 11082822580659315200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2354020241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3969384 + ... + 3969976.

Almost surely, 2^2354020240 is an apocalyptic number.

2354020240 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 2354020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229668288).

2354020240 is an abundant number, since it is smaller than the sum of its proper divisors (4105316336).

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

2354020240 is a wasteful number, since it uses less digits than its factorization.

2354020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2354020240 is about 48518.2464646034. The cubic root of 2354020240 is about 1330.2606080983.

Adding to 2354020240 its reverse (420204532), we get a palindrome (2774224772).

The spelling of 2354020240 in words is "two billion, three hundred fifty-four million, twenty thousand, two hundred forty".