2424700946952 has 160 divisors (see below), whose sum is σ = 6854977958400. Its totient is φ = 800675559936.

The previous prime is 2424700946951. The next prime is 2424700946959. The reversal of 2424700946952 is 2596490074242.

2424700946952 is a `hidden beast` number, since 2 + 42 + 470 + 0 + 9 + 46 + 95 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2424700946951) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167456049 + ... + 167470527.

It is an arithmetic number, because the mean of its divisors is an integer number (42843612240).

Almost surely, 2^{2424700946952} 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 2424700946952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427488979200).

2424700946952 is an abundant number, since it is smaller than the sum of its proper divisors (4430277011448).

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

2424700946952 is a wasteful number, since it uses less digits than its factorization.

2424700946952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16897 (or 16884 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2424700946952 in words is "two trillion, four hundred twenty-four billion, seven hundred million, nine hundred forty-six thousand, nine hundred fifty-two".