2361901248 has 448 divisors, whose sum is σ = 8583168000. Its totient is φ = 621831168.

The previous prime is 2361901247. The next prime is 2361901279. The reversal of 2361901248 is 8421091632.

2361901248 is a `hidden beast` number, since 23 + 619 + 0 + 12 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (2361901247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9882313 + ... + 9882551.

Almost surely, 2^2361901248 is an apocalyptic number.

2361901248 is a gapful number since it is divisible by the number (28) 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 2361901248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291584000).

2361901248 is an abundant number, since it is smaller than the sum of its proper divisors (6221266752).

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

2361901248 is a wasteful number, since it uses less digits than its factorization.

2361901248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2361901248 is about 48599.3955517967. The cubic root of 2361901248 is about 1331.7434779122.

The spelling of 2361901248 in words is "two billion, three hundred sixty-one million, nine hundred one thousand, two hundred forty-eight".