1957368240 has 200 divisors, whose sum is σ = 6824719440. Its totient is φ = 519934464.

The previous prime is 1957368229. The next prime is 1957368269. The reversal of 1957368240 is 428637591.

1957368240 is a `hidden beast` number, since 19 + 573 + 68 + 2 + 4 + 0 = 666.

1957368240 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

1957368240 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2455522 + ... + 2456318.

It is a 1-persistent number, because it is pandigital, but 2⋅1957368240 = 3914736480 is not.

Almost surely, 2^1957368240 is an apocalyptic number.

1957368240 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 1957368240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412359720).

1957368240 is an abundant number, since it is smaller than the sum of its proper divisors (4867351200).

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

1957368240 is a wasteful number, since it uses less digits than its factorization.

1957368240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1957368240 is about 44242.1545587463. The cubic root of 1957368240 is about 1250.9045697782.

The spelling of 1957368240 in words is "one billion, nine hundred fifty-seven million, three hundred sixty-eight thousand, two hundred forty".