2493429120 has 768 divisors, whose sum is σ = 10906721280. Its totient is φ = 510935040.

The previous prime is 2493429079. The next prime is 2493429131. The reversal of 2493429120 is 219243942.

2493429120 is a `hidden beast` number, since 2 + 493 + 42 + 9 + 120 = 666.

It is a super-3 number, since 3×2493429120³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

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, 35118685 + ... + 35118755.

It is an arithmetic number, because the mean of its divisors is an integer number (14201460).

Almost surely, 2^2493429120 is an apocalyptic number.

2493429120 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 2493429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453360640).

2493429120 is an abundant number, since it is smaller than the sum of its proper divisors (8413292160).

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

2493429120 is a wasteful number, since it uses less digits than its factorization.

2493429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2493429120 is about 49934.2479667012. The cubic root of 2493429120 is about 1356.0186908432.

The spelling of 2493429120 in words is "two billion, four hundred ninety-three million, four hundred twenty-nine thousand, one hundred twenty".