2440741248 has 160 divisors (see below), whose sum is σ = 7924304520. Its totient is φ = 739584000.

The previous prime is 2440741229. The next prime is 2440741267. The reversal of 2440741248 is 8421470442.

2440741248 is a `hidden beast` number, since 2 + 4 + 407 + 4 + 1 + 248 = 666.

It is an interprime number because it is at equal distance from previous prime (2440741229) and next prime (2440741267).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103348 + ... + 124748.

Almost surely, 2^2440741248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440741248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962152260).

2440741248 is an abundant number, since it is smaller than the sum of its proper divisors (5483563272).

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

2440741248 is a wasteful number, since it uses less digits than its factorization.

2440741248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21438 (or 21417 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 2440741248 is about 49403.8586347261. The cubic root of 2440741248 is about 1346.3994128130.

The spelling of 2440741248 in words is "two billion, four hundred forty million, seven hundred forty-one thousand, two hundred forty-eight".