2305070040 has 256 divisors, whose sum is σ = 8710732800. Its totient is φ = 474937344.

The previous prime is 2305070023. The next prime is 2305070057. The reversal of 2305070040 is 400705032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2305070023) and next prime (2305070057).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2305069989 and 2305070016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 467106 + ... + 472014.

It is an arithmetic number, because the mean of its divisors is an integer number (34026300).

Almost surely, 2^2305070040 is an apocalyptic number.

2305070040 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 2305070040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355366400).

2305070040 is an abundant number, since it is smaller than the sum of its proper divisors (6405662760).

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

2305070040 is a wasteful number, since it uses less digits than its factorization.

2305070040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 2305070040 is about 48011.1449561453. The cubic root of 2305070040 is about 1320.9753351715.

Adding to 2305070040 its reverse (400705032), we get a palindrome (2705775072).

The spelling of 2305070040 in words is "two billion, three hundred five million, seventy thousand, forty".