1982451240 has 512 divisors, whose sum is σ = 8515584000. Its totient is φ = 398131200.

The previous prime is 1982451227. The next prime is 1982451257. The reversal of 1982451240 is 421542891.

It is a super-2 number, since 2×1982451240² = 7860225837955075200, which contains 22 as substring.

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 = 1982451195 and 1982451204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2577576 + ... + 2578344.

It is an arithmetic number, because the mean of its divisors is an integer number (16632000).

Almost surely, 2^1982451240 is an apocalyptic number.

1982451240 is a gapful number since it is divisible by the number (10) 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 1982451240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257792000).

1982451240 is an abundant number, since it is smaller than the sum of its proper divisors (6533132760).

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

1982451240 is a wasteful number, since it uses less digits than its factorization.

1982451240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1982451240 is about 44524.7261642337. The cubic root of 1982451240 is about 1256.2252104710.

The spelling of 1982451240 in words is "one billion, nine hundred eighty-two million, four hundred fifty-one thousand, two hundred forty".