2451827040 has 384 divisors, whose sum is σ = 9121714560. Its totient is φ = 547749888.

The previous prime is 2451827017. The next prime is 2451827083. The reversal of 2451827040 is 407281542.

It is a super-2 number, since 2×2451827040² = 12022911668150323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2451826992 and 2451827010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3075922 + ... + 3076718.

It is an arithmetic number, because the mean of its divisors is an integer number (23754465).

Almost surely, 2^2451827040 is an apocalyptic number.

2451827040 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 2451827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560857280).

2451827040 is an abundant number, since it is smaller than the sum of its proper divisors (6669887520).

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

2451827040 is a wasteful number, since it uses less digits than its factorization.

2451827040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 2451827040 is about 49515.9271346099. The cubic root of 2451827040 is about 1348.4347730400.

The spelling of 2451827040 in words is "two billion, four hundred fifty-one million, eight hundred twenty-seven thousand, forty".