2429060928 has 336 divisors, whose sum is σ = 8005754880. Its totient is φ = 646216704.

The previous prime is 2429060917. The next prime is 2429060939. The reversal of 2429060928 is 8290609242.

It is an interprime number because it is at equal distance from previous prime (2429060917) and next prime (2429060939).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2429060928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19126401 + ... + 19126527.

Almost surely, 2^2429060928 is an apocalyptic number.

2429060928 is a gapful number since it is divisible by the number (28) 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 2429060928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002877440).

2429060928 is an abundant number, since it is smaller than the sum of its proper divisors (5576693952).

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

2429060928 is a wasteful number, since it uses less digits than its factorization.

2429060928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2429060928 is about 49285.5042380617. The cubic root of 2429060928 is about 1344.2482180437.

The spelling of 2429060928 in words is "two billion, four hundred twenty-nine million, sixty thousand, nine hundred twenty-eight".