2351441664 has 540 divisors, whose sum is σ = 8418414312. Its totient is φ = 646963200.

The previous prime is 2351441647. The next prime is 2351441671. The reversal of 2351441664 is 4661441532.

2351441664 is a `hidden beast` number, since 235 + 1 + 4 + 416 + 6 + 4 = 666.

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

Its product of digits (69120) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38548194 + ... + 38548254.

Almost surely, 2^2351441664 is an apocalyptic number.

2351441664 is a gapful number since it is divisible by the number (24) 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 2351441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209207156).

2351441664 is an abundant number, since it is smaller than the sum of its proper divisors (6066972648).

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

2351441664 is a wasteful number, since it uses less digits than its factorization.

2351441664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2351441664 is about 48491.6659231254. The cubic root of 2351441664 is about 1329.7747114967.

The spelling of 2351441664 in words is "two billion, three hundred fifty-one million, four hundred forty-one thousand, six hundred sixty-four".