1952264810496 has 1248 divisors, whose sum is σ = 7287070072320. Its totient is φ = 450861465600.

The previous prime is 1952264810477. The next prime is 1952264810497. The reversal of 1952264810496 is 6940184622591.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×1952264810496² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1952264810497) 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, 4637208366 + ... + 4637208786.

Almost surely, 2^{1952264810496} is an apocalyptic number.

1952264810496 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 1952264810496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643535036160).

1952264810496 is an abundant number, since it is smaller than the sum of its proper divisors (5334805261824).

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

1952264810496 is a wasteful number, since it uses less digits than its factorization.

1952264810496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 1952264810496 in words is "one trillion, nine hundred fifty-two billion, two hundred sixty-four million, eight hundred ten thousand, four hundred ninety-six".