2121587424 has 384 divisors, whose sum is σ = 7354368000. Its totient is φ = 587865600.

The previous prime is 2121587417. The next prime is 2121587467. The reversal of 2121587424 is 4247851212.

2121587424 is a `hidden beast` number, since 212 + 15 + 8 + 7 + 424 = 666.

It is a super-2 number, since 2×2121587424² = 9002266395349911552, which contains 22 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 63 ways as a sum of consecutive naturals, for example, 5597667 + ... + 5598045.

It is an arithmetic number, because the mean of its divisors is an integer number (19152000).

Almost surely, 2^2121587424 is an apocalyptic number.

2121587424 is a gapful number since it is divisible by the number (24) 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 2121587424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184000).

2121587424 is an abundant number, since it is smaller than the sum of its proper divisors (5232780576).

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

2121587424 is a wasteful number, since it uses less digits than its factorization.

2121587424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 445 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 2121587424 is about 46060.6928302213. The cubic root of 2121587424 is about 1284.9522153144.

The spelling of 2121587424 in words is "two billion, one hundred twenty-one million, five hundred eighty-seven thousand, four hundred twenty-four".