1982672640 has 360 divisors, whose sum is σ = 7645279488. Its totient is φ = 487710720.

The previous prime is 1982672599. The next prime is 1982672687. The reversal of 1982672640 is 462762891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347105 + ... + 1348575.

Almost surely, 2^1982672640 is an apocalyptic number.

1982672640 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 1982672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822639744).

1982672640 is an abundant number, since it is smaller than the sum of its proper divisors (5662606848).

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

1982672640 is a wasteful number, since it uses less digits than its factorization.

1982672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1982672640 is about 44527.2123537955. The cubic root of 1982672640 is about 1256.2719737747.

The spelling of 1982672640 in words is "one billion, nine hundred eighty-two million, six hundred seventy-two thousand, six hundred forty".