1896742440 has 256 divisors, whose sum is σ = 6583449600. Its totient is φ = 485222400.

The previous prime is 1896742423. The next prime is 1896742483. The reversal of 1896742440 is 442476981.

1896742440 is a `hidden beast` number, since 189 + 6 + 7 + 424 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6059724 + ... + 6060036.

It is an arithmetic number, because the mean of its divisors is an integer number (25716600).

Almost surely, 2^1896742440 is an apocalyptic number.

1896742440 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 1896742440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291724800).

1896742440 is an abundant number, since it is smaller than the sum of its proper divisors (4686707160).

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

1896742440 is a wasteful number, since it uses less digits than its factorization.

1896742440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1896742440 is about 43551.6066293771. The cubic root of 1896742440 is about 1237.8540841680.

The spelling of 1896742440 in words is "one billion, eight hundred ninety-six million, seven hundred forty-two thousand, four hundred forty".