6212519040 has 768 divisors, whose sum is σ = 25864392960. Its totient is φ = 1234206720.

The previous prime is 6212519039. The next prime is 6212519063. The reversal of 6212519040 is 409152126.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6212518989 and 6212519007.

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, 167905902 + ... + 167905938.

It is an arithmetic number, because the mean of its divisors is an integer number (33677595).

Almost surely, 2^6212519040 is an apocalyptic number.

6212519040 is a gapful number since it is divisible by the number (60) 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 6212519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12932196480).

6212519040 is an abundant number, since it is smaller than the sum of its proper divisors (19651873920).

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

6212519040 is a wasteful number, since it uses less digits than its factorization.

6212519040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 6212519040 is about 78819.5346345054. The cubic root of 6212519040 is about 1838.3262031230.

The spelling of 6212519040 in words is "six billion, two hundred twelve million, five hundred nineteen thousand, forty".