7244052480 has 768 divisors, whose sum is σ = 31135104000. Its totient is φ = 1560674304.

The previous prime is 7244052443. The next prime is 7244052481. The reversal of 7244052480 is 842504427.

7244052480 is a `hidden beast` number, since 7 + 2 + 4 + 405 + 248 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7244052481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36771742 + ... + 36771938.

It is an arithmetic number, because the mean of its divisors is an integer number (40540500).

Almost surely, 2^7244052480 is an apocalyptic number.

7244052480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7244052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567552000).

7244052480 is an abundant number, since it is smaller than the sum of its proper divisors (23891051520).

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

7244052480 is a wasteful number, since it uses less digits than its factorization.

7244052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 7244052480 is about 85111.9996240248. Note that the first 3 decimals coincide. The cubic root of 7244052480 is about 1934.9089314751.

The spelling of 7244052480 in words is "seven billion, two hundred forty-four million, fifty-two thousand, four hundred eighty".