2400773140 has 48 divisors (see below), whose sum is σ = 5115211920. Its totient is φ = 946391040.

The previous prime is 2400773093. The next prime is 2400773147. The reversal of 2400773140 is 413770042.

It can be written as a sum of positive squares in 8 ways, for example, as 1638792324 + 761980816 = 40482^2 + 27604^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2400773099 and 2400773108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400773147) 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, 406126 + ... + 411994.

It is an arithmetic number, because the mean of its divisors is an integer number (106566915).

Almost surely, 2^2400773140 is an apocalyptic number.

2400773140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400773140 is an abundant number, since it is smaller than the sum of its proper divisors (2714438780).

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

2400773140 is a wasteful number, since it uses less digits than its factorization.

2400773140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172 (or 6170 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 2400773140 is about 48997.6850473571. The cubic root of 2400773140 is about 1339.0096528934.

The spelling of 2400773140 in words is "two billion, four hundred million, seven hundred seventy-three thousand, one hundred forty".