1864979840 has 256 divisors, whose sum is σ = 4953968640. Its totient is φ = 669081600.

The previous prime is 1864979839. The next prime is 1864979843. The reversal of 1864979840 is 489794681.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1864979843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27835487 + ... + 27835553.

It is an arithmetic number, because the mean of its divisors is an integer number (19351440).

Almost surely, 2^1864979840 is an apocalyptic number.

1864979840 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 1864979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476984320).

1864979840 is an abundant number, since it is smaller than the sum of its proper divisors (3088988800).

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

1864979840 is a wasteful number, since it uses less digits than its factorization.

1864979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 56.

The square root of 1864979840 is about 43185.4123518579. The cubic root of 1864979840 is about 1230.9055045904.

It can be divided in two parts, 18649 and 79840, that added together give a palindrome (98489).

The spelling of 1864979840 in words is "one billion, eight hundred sixty-four million, nine hundred seventy-nine thousand, eight hundred forty".