2429134800 has 120 divisors (see below), whose sum is σ = 8190948960. Its totient is φ = 613670400.

The previous prime is 2429134783. The next prime is 2429134817. The reversal of 2429134800 is 84319242.

It is an interprime number because it is at equal distance from previous prime (2429134783) and next prime (2429134817).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30471 + ... + 76070.

It is an arithmetic number, because the mean of its divisors is an integer number (68257908).

Almost surely, 2^2429134800 is an apocalyptic number.

2429134800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2429134800 is an abundant number, since it is smaller than the sum of its proper divisors (5761814160).

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

2429134800 is a wasteful number, since it uses less digits than its factorization.

2429134800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106581 (or 106570 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2429134800 is about 49286.2536616448. The cubic root of 2429134800 is about 1344.2618448869.

The spelling of 2429134800 in words is "two billion, four hundred twenty-nine million, one hundred thirty-four thousand, eight hundred".