1948523040 has 240 divisors, whose sum is σ = 6915585600. Its totient is φ = 516672000.

The previous prime is 1948522987. The next prime is 1948523041. The reversal of 1948523040 is 403258491.

1948523040 is a `hidden beast` number, since 1 + 94 + 8 + 523 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1948522986 and 1948523004.

It is not an unprimeable number, because it can be changed into a prime (1948523041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3252661 + ... + 3253259.

It is an arithmetic number, because the mean of its divisors is an integer number (28814940).

Almost surely, 2^1948523040 is an apocalyptic number.

1948523040 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 1948523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457792800).

1948523040 is an abundant number, since it is smaller than the sum of its proper divisors (4967062560).

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

1948523040 is a wasteful number, since it uses less digits than its factorization.

1948523040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1948523040 is about 44142.0778849388. The cubic root of 1948523040 is about 1249.0174764537.

The spelling of 1948523040 in words is "one billion, nine hundred forty-eight million, five hundred twenty-three thousand, forty".