2400947151001 has 81 divisors (see below), whose sum is σ = 3079586381079. Its totient is φ = 1865943883776.

The previous prime is 2400947150947. The next prime is 2400947151121. The reversal of 2400947151001 is 1001517490042.

The square root of 2400947151001 is 1549499.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 287773238025 + 2113173912976 = 536445^2 + 1453676^2 .

It is not a de Polignac number, because 2400947151001 - 2¹¹ = 2400947148953 is a prime.

It is a super-3 number, since 3×2400947151001³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2400947151301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5347320825 + ... + 5347321273.

Almost surely, 2^{2400947151001} is an apocalyptic number.

2400947151001 is the 1549499-th square number.

2400947151001 is the 774750-th centered octagonal number.

It is an amenable number.

2400947151001 is a deficient number, since it is larger than the sum of its proper divisors (678639230078).

2400947151001 is an frugal number, since it uses more digits than its factorization.

2400947151001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 2400947151001 in words is "two trillion, four hundred billion, nine hundred forty-seven million, one hundred fifty-one thousand, one".