6290540520 has 384 divisors, whose sum is σ = 22305507840. Its totient is φ = 1406522880.

The previous prime is 6290540519. The next prime is 6290540561. The reversal of 6290540520 is 250450926.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 20490207 + ... + 20490513.

It is an arithmetic number, because the mean of its divisors is an integer number (58087260).

Almost surely, 2^6290540520 is an apocalyptic number.

6290540520 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 6290540520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11152753920).

6290540520 is an abundant number, since it is smaller than the sum of its proper divisors (16014967320).

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

6290540520 is a wasteful number, since it uses less digits than its factorization.

6290540520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 6290540520 is about 79312.9278239052. The cubic root of 6290540520 is about 1845.9899036418.

The spelling of 6290540520 in words is "six billion, two hundred ninety million, five hundred forty thousand, five hundred twenty".