2350978560 has 640 divisors, whose sum is σ = 9852226560. Its totient is φ = 520224768.

The previous prime is 2350978549. The next prime is 2350978571. The reversal of 2350978560 is 658790532.

It is a happy number.

2350978560 is a `hidden beast` number, since 2 + 3 + 509 + 7 + 85 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2350978549) and next prime (2350978571).

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 20805064 + ... + 20805176.

It is an arithmetic number, because the mean of its divisors is an integer number (15394104).

Almost surely, 2^2350978560 is an apocalyptic number.

2350978560 is a gapful number since it is divisible by the number (20) 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 2350978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926113280).

2350978560 is an abundant number, since it is smaller than the sum of its proper divisors (7501248000).

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

2350978560 is a wasteful number, since it uses less digits than its factorization.

2350978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2350978560 is about 48486.8905994187. The cubic root of 2350978560 is about 1329.6874083995.

The spelling of 2350978560 in words is "two billion, three hundred fifty million, nine hundred seventy-eight thousand, five hundred sixty".