2429034960 has 160 divisors (see below), whose sum is σ = 8330895360. Its totient is φ = 580518400.

The previous prime is 2429034947. The next prime is 2429034973. The reversal of 2429034960 is 694309242.

It is an interprime number because it is at equal distance from previous prime (2429034947) and next prime (2429034973).

It is a congruent number.

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, 180961 + ... + 193919.

It is an arithmetic number, because the mean of its divisors is an integer number (52068096).

Almost surely, 2^2429034960 is an apocalyptic number.

2429034960 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 2429034960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4165447680).

2429034960 is an abundant number, since it is smaller than the sum of its proper divisors (5901860400).

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

2429034960 is a wasteful number, since it uses less digits than its factorization.

2429034960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13057 (or 13051 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 2429034960 is about 49285.2407927566. The cubic root of 2429034960 is about 1344.2434277752.

The spelling of 2429034960 in words is "two billion, four hundred twenty-nine million, thirty-four thousand, nine hundred sixty".