2420301040 has 80 divisors (see below), whose sum is σ = 5890248000. Its totient is φ = 923129856.

The previous prime is 2420301007. The next prime is 2420301041. The reversal of 2420301040 is 401030242.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2420301040³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420301041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640276 + ... + 644044.

It is an arithmetic number, because the mean of its divisors is an integer number (73628100).

Almost surely, 2^2420301040 is an apocalyptic number.

2420301040 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 2420301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945124000).

2420301040 is an abundant number, since it is smaller than the sum of its proper divisors (3469946960).

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

2420301040 is a wasteful number, since it uses less digits than its factorization.

2420301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2420301040 is about 49196.5551639543. Note that the first 3 decimals coincide. The cubic root of 2420301040 is about 1342.6303572267.

Adding to 2420301040 its reverse (401030242), we get a palindrome (2821331282).

The spelling of 2420301040 in words is "two billion, four hundred twenty million, three hundred one thousand, forty".