2483282769408 has 1400 divisors, whose sum is σ = 9245390464728. Its totient is φ = 663676747776.

The previous prime is 2483282769389. The next prime is 2483282769427. The reversal of 2483282769408 is 8049672823842.

2483282769408 is a `hidden beast` number, since 2 + 4 + 83 + 2 + 82 + 76 + 9 + 408 = 666.

It is an interprime number because it is at equal distance from previous prime (2483282769389) and next prime (2483282769427).

It is a super-2 number, since 2×2483282769408² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 15234863535 + ... + 15234863697.

Almost surely, 2^{2483282769408} is an apocalyptic number.

2483282769408 is a gapful number since it is divisible by the number (28) 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 2483282769408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622695232364).

2483282769408 is an abundant number, since it is smaller than the sum of its proper divisors (6762107695320).

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

2483282769408 is an frugal number, since it uses more digits than its factorization.

2483282769408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 2483282769408 in words is "two trillion, four hundred eighty-three billion, two hundred eighty-two million, seven hundred sixty-nine thousand, four hundred eight".