1948251840 has 112 divisors (see below), whose sum is σ = 6194706432. Its totient is φ = 518777856.

The previous prime is 1948251839. The next prime is 1948251841. The reversal of 1948251840 is 481528491.

It is an interprime number because it is at equal distance from previous prime (1948251839) and next prime (1948251841).

It is a junction number, because it is equal to n+sod(n) for n = 1948251792 and 1948251801.

It is not an unprimeable number, because it can be changed into a prime (1948251841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1042587 + ... + 1044453.

Almost surely, 2^1948251840 is an apocalyptic number.

1948251840 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 1948251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097353216).

1948251840 is an abundant number, since it is smaller than the sum of its proper divisors (4246454592).

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

1948251840 is a wasteful number, since it uses less digits than its factorization.

1948251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 1948251840 is about 44139.0058791541. The cubic root of 1948251840 is about 1248.9595267059.

The spelling of 1948251840 in words is "one billion, nine hundred forty-eight million, two hundred fifty-one thousand, eight hundred forty".