2400346430042 has 48 divisors (see below), whose sum is σ = 4229559089280. Its totient is φ = 1017288919680.

The previous prime is 2400346430017. The next prime is 2400346430051.

2400346430042 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2400346429990 and 2400346430008.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2286242 + ... + 3166637.

It is an arithmetic number, because the mean of its divisors is an integer number (88115814360).

Almost surely, 2^{2400346430042} is an apocalyptic number.

2400346430042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2400346430042 is a deficient number, since it is larger than the sum of its proper divisors (1829212659238).

2400346430042 is a wasteful number, since it uses less digits than its factorization.

2400346430042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5453027 (or 5453016 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

The spelling of 2400346430042 in words is "two trillion, four hundred billion, three hundred forty-six million, four hundred thirty thousand, forty-two".