2529687420 has 288 divisors, whose sum is σ = 8739354624. Its totient is φ = 587865600.

The previous prime is 2529687409. The next prime is 2529687437. The reversal of 2529687420 is 247869252.

2529687420 is a `hidden beast` number, since 2 + 529 + 6 + 87 + 42 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3118815 + ... + 3119625.

Almost surely, 2^2529687420 is an apocalyptic number.

2529687420 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 2529687420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369677312).

2529687420 is an abundant number, since it is smaller than the sum of its proper divisors (6209667204).

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

2529687420 is a wasteful number, since it uses less digits than its factorization.

2529687420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2529687420 is about 50295.9980515349. The cubic root of 2529687420 is about 1362.5599526968.

The spelling of 2529687420 in words is "two billion, five hundred twenty-nine million, six hundred eighty-seven thousand, four hundred twenty".