2429575680 has 320 divisors, whose sum is σ = 9091703808. Its totient is φ = 541900800.

The previous prime is 2429575669. The next prime is 2429575711. The reversal of 2429575680 is 865759242.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2311155 + ... + 2312205.

Almost surely, 2^2429575680 is an apocalyptic number.

2429575680 is a gapful number since it is divisible by the number (20) 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 2429575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545851904).

2429575680 is an abundant number, since it is smaller than the sum of its proper divisors (6662128128).

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

2429575680 is a wasteful number, since it uses less digits than its factorization.

2429575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 2429575680 is about 49290.7261054247. The cubic root of 2429575680 is about 1344.3431663394.

The spelling of 2429575680 in words is "two billion, four hundred twenty-nine million, five hundred seventy-five thousand, six hundred eighty".