1952274240 has 336 divisors, whose sum is σ = 7731434880. Its totient is φ = 442920960.

The previous prime is 1952274227. The next prime is 1952274277. The reversal of 1952274240 is 424722591.

1952274240 is a `hidden beast` number, since 1 + 9 + 5 + 227 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1952274240² = 7622749416335155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1952274195 and 1952274204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3608370 + ... + 3608910.

Almost surely, 2^1952274240 is an apocalyptic number.

1952274240 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 1952274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865717440).

1952274240 is an abundant number, since it is smaller than the sum of its proper divisors (5779160640).

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

1952274240 is a wasteful number, since it uses less digits than its factorization.

1952274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1952274240 is about 44184.5475251247. The cubic root of 1952274240 is about 1249.8184781745.

The spelling of 1952274240 in words is "one billion, nine hundred fifty-two million, two hundred seventy-four thousand, two hundred forty".