1952778240 has 384 divisors, whose sum is σ = 7941024000. Its totient is φ = 445906944.

The previous prime is 1952778229. The next prime is 1952778259. The reversal of 1952778240 is 428772591.

It is a happy number.

1952778240 is a `hidden beast` number, since 1 + 9 + 527 + 7 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1934856 + ... + 1935864.

It is an arithmetic number, because the mean of its divisors is an integer number (20679750).

Almost surely, 2^1952778240 is an apocalyptic number.

1952778240 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 1952778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970512000).

1952778240 is an abundant number, since it is smaller than the sum of its proper divisors (5988245760).

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

1952778240 is a wasteful number, since it uses less digits than its factorization.

1952778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1952778240 is about 44190.2505084549. The cubic root of 1952778240 is about 1249.9260201550.

The spelling of 1952778240 in words is "one billion, nine hundred fifty-two million, seven hundred seventy-eight thousand, two hundred forty".