2631423744 has 324 divisors, whose sum is σ = 8463926016. Its totient is φ = 783433728.

The previous prime is 2631423737. The next prime is 2631423763. The reversal of 2631423744 is 4473241362.

2631423744 = T₃₅₂ + T₃₅₃ + ... + T₂₅₁₀.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2631423699 and 2631423708.

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 35 ways as a sum of consecutive naturals, for example, 20719809 + ... + 20719935.

Almost surely, 2^2631423744 is an apocalyptic number.

2631423744 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 2631423744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231963008).

2631423744 is an abundant number, since it is smaller than the sum of its proper divisors (5832502272).

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

2631423744 is a wasteful number, since it uses less digits than its factorization.

2631423744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 172 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 2631423744 is about 51297.4048466392. The cubic root of 2631423744 is about 1380.5864174390.

The spelling of 2631423744 in words is "two billion, six hundred thirty-one million, four hundred twenty-three thousand, seven hundred forty-four".