1681952740 has 192 divisors, whose sum is σ = 4212375552. Its totient is φ = 558835200.

The previous prime is 1681952711. The next prime is 1681952761. The reversal of 1681952740 is 472591861.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 7971235 + ... + 7971445.

It is an arithmetic number, because the mean of its divisors is an integer number (21939456).

Almost surely, 2^1681952740 is an apocalyptic number.

1681952740 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 1681952740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106187776).

1681952740 is an abundant number, since it is smaller than the sum of its proper divisors (2530422812).

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

1681952740 is a wasteful number, since it uses less digits than its factorization.

1681952740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 1681952740 is about 41011.6171346608. The cubic root of 1681952740 is about 1189.2448048371.

The spelling of 1681952740 in words is "one billion, six hundred eighty-one million, nine hundred fifty-two thousand, seven hundred forty".