10240023249 has 27 divisors (see below), whose sum is σ = 14998779003. Its totient is φ = 6732167904.

The previous prime is 10240023247. The next prime is 10240023251. The reversal of 10240023249 is 94232004201.

The square root of 10240023249 is 101193.

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

10240023249 is a `hidden beast` number, since 10 + 2 + 400 + 2 + 3 + 249 = 666.

It is an interprime number because it is at equal distance from previous prime (10240023247) and next prime (10240023251).

It can be written as a sum of positive squares in only one way, i.e., 1966301649 + 8273721600 = 44343^2 + 90960^2 .

It is not a de Polignac number, because 10240023249 - 2¹ = 10240023247 is a prime.

It is a super-2 number, since 2×10240023249² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10240023247) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27018342 + ... + 27018720.

Almost surely, 2^10240023249 is an apocalyptic number.

10240023249 is the 101193-rd square number.

10240023249 is the 50597-th centered octagonal number.

It is an amenable number.

10240023249 is a deficient number, since it is larger than the sum of its proper divisors (4758755754).

10240023249 is an frugal number, since it uses more digits than its factorization.

10240023249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10240023249 in words is "ten billion, two hundred forty million, twenty-three thousand, two hundred forty-nine".