2502429120 has 224 divisors, whose sum is σ = 9113763840. Its totient is φ = 645719040.

The previous prime is 2502429107. The next prime is 2502429133. The reversal of 2502429120 is 219242052.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2502429107) and next prime (2502429133).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 263169 + ... + 272511.

Almost surely, 2^2502429120 is an apocalyptic number.

2502429120 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 2502429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556881920).

2502429120 is an abundant number, since it is smaller than the sum of its proper divisors (6611334720).

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

2502429120 is a wasteful number, since it uses less digits than its factorization.

2502429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9400 (or 9384 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2502429120 is about 50024.2853022410. The cubic root of 2502429120 is about 1357.6482424111.

The spelling of 2502429120 in words is "two billion, five hundred two million, four hundred twenty-nine thousand, one hundred twenty".