1781015040 has 480 divisors, whose sum is σ = 7328280960. Its totient is φ = 406093824.

The previous prime is 1781015023. The next prime is 1781015053. The reversal of 1781015040 is 405101871.

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 1781014995 and 1781015013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4354356 + ... + 4354764.

It is an arithmetic number, because the mean of its divisors is an integer number (15267252).

Almost surely, 2^1781015040 is an apocalyptic number.

1781015040 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 1781015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664140480).

1781015040 is an abundant number, since it is smaller than the sum of its proper divisors (5547265920).

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

1781015040 is an frugal number, since it uses more digits than its factorization.

1781015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 1781015040 is about 42202.0738826897. The cubic root of 1781015040 is about 1212.1485946622.

The spelling of 1781015040 in words is "one billion, seven hundred eighty-one million, fifteen thousand, forty".