2429561160 has 384 divisors, whose sum is σ = 9081072000. Its totient is φ = 558379008.

The previous prime is 2429561119. The next prime is 2429561201. The reversal of 2429561160 is 611659242.

It is an interprime number because it is at equal distance from previous prime (2429561119) and next prime (2429561201).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7913727 + ... + 7914033.

It is an arithmetic number, because the mean of its divisors is an integer number (23648625).

Almost surely, 2^2429561160 is an apocalyptic number.

2429561160 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 2429561160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540536000).

2429561160 is an abundant number, since it is smaller than the sum of its proper divisors (6651510840).

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

2429561160 is a wasteful number, since it uses less digits than its factorization.

2429561160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2429561160 is about 49290.5788158346. The cubic root of 2429561160 is about 1344.3404882447.

The spelling of 2429561160 in words is "two billion, four hundred twenty-nine million, five hundred sixty-one thousand, one hundred sixty".