2400769345 has 16 divisors (see below), whose sum is σ = 3107199312. Its totient is φ = 1770209280.

The previous prime is 2400769331. The next prime is 2400769351. The reversal of 2400769345 is 5439670042.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 831341889 + 1569427456 = 28833^2 + 39616^2 .

It is not a de Polignac number, because 2400769345 - 2⁹ = 2400768833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2400769298 and 2400769307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16305 + ... + 71185.

It is an arithmetic number, because the mean of its divisors is an integer number (194199957).

Almost surely, 2^2400769345 is an apocalyptic number.

It is an amenable number.

2400769345 is a deficient number, since it is larger than the sum of its proper divisors (706429967).

2400769345 is a wasteful number, since it uses less digits than its factorization.

2400769345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55572.

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 2400769345 is about 48997.6463210224. The cubic root of 2400769345 is about 1339.0089473506.

The spelling of 2400769345 in words is "two billion, four hundred million, seven hundred sixty-nine thousand, three hundred forty-five".