1873257540 has 576 divisors, whose sum is σ = 7367528448. Its totient is φ = 344678400.

The previous prime is 1873257511. The next prime is 1873257583. The reversal of 1873257540 is 457523781.

It is a super-2 number, since 2×1873257540² = 7018187622333703200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1873257492 and 1873257501.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30709110 + ... + 30709170.

It is an arithmetic number, because the mean of its divisors is an integer number (12790848).

Almost surely, 2^1873257540 is an apocalyptic number.

1873257540 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 1873257540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683764224).

1873257540 is an abundant number, since it is smaller than the sum of its proper divisors (5494270908).

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

1873257540 is a wasteful number, since it uses less digits than its factorization.

1873257540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 1873257540 is about 43281.1453175629. The cubic root of 1873257540 is about 1232.7239386987.

The spelling of 1873257540 in words is "one billion, eight hundred seventy-three million, two hundred fifty-seven thousand, five hundred forty".