1872059040 has 480 divisors, whose sum is σ = 7261364880. Its totient is φ = 452100096.

The previous prime is 1872059039. The next prime is 1872059041. The reversal of 1872059040 is 409502781.

1872059040 is a `hidden beast` number, since 1 + 8 + 7 + 20 + 590 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1872059039) and next prime (1872059041).

It can be written as a sum of positive squares in 8 ways, for example, as 1559618064 + 312440976 = 39492^2 + 17676^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

1872059040 is a modest number, since divided by 59040 gives 18720 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1872058986 and 1872059004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1872059041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6389134 + ... + 6389426.

Almost surely, 2^1872059040 is an apocalyptic number.

1872059040 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 1872059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630682440).

1872059040 is an abundant number, since it is smaller than the sum of its proper divisors (5389305840).

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

1872059040 is a wasteful number, since it uses less digits than its factorization.

1872059040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1872059040 is about 43267.2975814298. The cubic root of 1872059040 is about 1232.4609859185.

The spelling of 1872059040 in words is "one billion, eight hundred seventy-two million, fifty-nine thousand, forty".