2429878140 has 144 divisors (see below), whose sum is σ = 7482034560. Its totient is φ = 638254080.

The previous prime is 2429878133. The next prime is 2429878159. The reversal of 2429878140 is 418789242.

2429878140 is a `hidden beast` number, since 2 + 429 + 87 + 8 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5316792 + ... + 5317248.

Almost surely, 2^2429878140 is an apocalyptic number.

2429878140 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 2429878140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741017280).

2429878140 is an abundant number, since it is smaller than the sum of its proper divisors (5052156420).

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

2429878140 is a wasteful number, since it uses less digits than its factorization.

2429878140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2429878140 is about 49293.7941327303. The cubic root of 2429878140 is about 1344.3989501766.

The spelling of 2429878140 in words is "two billion, four hundred twenty-nine million, eight hundred seventy-eight thousand, one hundred forty".