1952098560 has 216 divisors, whose sum is σ = 6920464824. Its totient is φ = 507740160.

The previous prime is 1952098543. The next prime is 1952098583. The reversal of 1952098560 is 658902591.

It can be written as a sum of positive squares in 4 ways, for example, as 52533504 + 1899565056 = 7248^2 + 43584^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470254 + ... + 474386.

It is an arithmetic number, because the mean of its divisors is an integer number (32039189).

Almost surely, 2^1952098560 is an apocalyptic number.

1952098560 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 1952098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460232412).

1952098560 is an abundant number, since it is smaller than the sum of its proper divisors (4968366264).

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

1952098560 is a wasteful number, since it uses less digits than its factorization.

1952098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 1952098560 is about 44182.5594550610. The cubic root of 1952098560 is about 1249.7809877625.

The spelling of 1952098560 in words is "one billion, nine hundred fifty-two million, ninety-eight thousand, five hundred sixty".