1952248704 has 128 divisors (see below), whose sum is σ = 5963328000. Its totient is φ = 554317824.

The previous prime is 1952248687. The next prime is 1952248721. The reversal of 1952248704 is 4078422591.

It is an interprime number because it is at equal distance from previous prime (1952248687) and next prime (1952248721).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1952248704² = 7622550004539359232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446722 + ... + 451070.

It is an arithmetic number, because the mean of its divisors is an integer number (46588500).

Almost surely, 2^1952248704 is an apocalyptic number.

1952248704 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 1952248704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981664000).

1952248704 is an abundant number, since it is smaller than the sum of its proper divisors (4011079296).

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

1952248704 is a wasteful number, since it uses less digits than its factorization.

1952248704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1952248704 is about 44184.2585543766. The cubic root of 1952248704 is about 1249.8130288882.

The spelling of 1952248704 in words is "one billion, nine hundred fifty-two million, two hundred forty-eight thousand, seven hundred four".