1955640000 has 280 divisors, whose sum is σ = 6633626560. Its totient is φ = 508032000.

The previous prime is 1955639993. The next prime is 1955640007. The reversal of 1955640000 is 465591.

It is an interprime number because it is at equal distance from previous prime (1955639993) and next prime (1955640007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1955640000.

It is not an unprimeable number, because it can be changed into a prime (1955640007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5159811 + ... + 5160189.

Almost surely, 2^1955640000 is an apocalyptic number.

1955640000 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 1955640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316813280).

1955640000 is an abundant number, since it is smaller than the sum of its proper divisors (4677986560).

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

1955640000 is an equidigital number, since it uses as much as digits as its factorization.

1955640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1955640000 is about 44222.6186470227. The cubic root of 1955640000 is about 1250.5363032035.

The spelling of 1955640000 in words is "one billion, nine hundred fifty-five million, six hundred forty thousand".