1952874496 has 64 divisors (see below), whose sum is σ = 3973780260. Its totient is φ = 959447040.

The previous prime is 1952874463. The next prime is 1952874503. The reversal of 1952874496 is 6944782591.

It can be written as a sum of positive squares in 2 ways, for example, as 1950105600 + 2768896 = 44160^2 + 1664^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1998360 + ... + 1999336.

Almost surely, 2^1952874496 is an apocalyptic number.

1952874496 is a gapful number since it is divisible by the number (16) 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 1952874496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986890130).

1952874496 is an abundant number, since it is smaller than the sum of its proper divisors (2020905764).

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

1952874496 is an frugal number, since it uses more digits than its factorization.

1952874496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1040 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 55.

The square root of 1952874496 is about 44191.3396040446. The cubic root of 1952874496 is about 1249.9465568618.

The spelling of 1952874496 in words is "one billion, nine hundred fifty-two million, eight hundred seventy-four thousand, four hundred ninety-six".