1949265864 has 384 divisors, whose sum is σ = 7017292800. Its totient is φ = 496419840.

The previous prime is 1949265863. The next prime is 1949265869. The reversal of 1949265864 is 4685629491.

1949265864 is a `hidden beast` number, since 19 + 49 + 2 + 6 + 586 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1949265864.

It is not an unprimeable number, because it can be changed into a prime (1949265863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4265124 + ... + 4265580.

It is an arithmetic number, because the mean of its divisors is an integer number (18274200).

Almost surely, 2^1949265864 is an apocalyptic number.

1949265864 is a gapful number since it is divisible by the number (14) 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 1949265864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508646400).

1949265864 is an abundant number, since it is smaller than the sum of its proper divisors (5068026936).

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

1949265864 is a wasteful number, since it uses less digits than its factorization.

1949265864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 513 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 1949265864 is about 44150.4910957964. The cubic root of 1949265864 is about 1249.1761748223.

The spelling of 1949265864 in words is "one billion, nine hundred forty-nine million, two hundred sixty-five thousand, eight hundred sixty-four".