1952275983840 has 1920 divisors, whose sum is σ = 8895225765888. Its totient is φ = 392179138560.

The previous prime is 1952275983839. The next prime is 1952275983899. The reversal of 1952275983840 is 483895722591.

1952275983840 is a `hidden beast` number, since 1 + 9 + 5 + 2 + 2 + 7 + 598 + 38 + 4 + 0 = 666.

It is a super-2 number, since 2×1952275983840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2449530322 + ... + 2449531118.

Almost surely, 2^{1952275983840} is an apocalyptic number.

1952275983840 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 1952275983840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447612882944).

1952275983840 is an abundant number, since it is smaller than the sum of its proper divisors (6942949782048).

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

1952275983840 is a wasteful number, since it uses less digits than its factorization.

1952275983840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 1952275983840 in words is "one trillion, nine hundred fifty-two billion, two hundred seventy-five million, nine hundred eighty-three thousand, eight hundred forty".