6253879240 has 128 divisors (see below), whose sum is σ = 17006008320. Its totient is φ = 2024294400.

The previous prime is 6253879223. The next prime is 6253879249. The reversal of 6253879240 is 429783526.

It is a super-2 number, since 2×6253879240² = 78222011097005955200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6253879249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347094 + ... + 364666.

It is an arithmetic number, because the mean of its divisors is an integer number (132859440).

Almost surely, 2^6253879240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6253879240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503004160).

6253879240 is an abundant number, since it is smaller than the sum of its proper divisors (10752129080).

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

6253879240 is a wasteful number, since it uses less digits than its factorization.

6253879240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17663 (or 17659 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 6253879240 is about 79081.4721663678. The cubic root of 6253879240 is about 1842.3967702966.

It can be divided in two parts, 62538 and 79240, that added together give a triangular number (141778 = T₅₃₂).

The spelling of 6253879240 in words is "six billion, two hundred fifty-three million, eight hundred seventy-nine thousand, two hundred forty".