2401261750890 has 96 divisors (see below), whose sum is σ = 6381998475840. Its totient is φ = 626221467648.

The previous prime is 2401261750819. The next prime is 2401261750907. The reversal of 2401261750890 is 980571621042.

2401261750890 is a `hidden beast` number, since 2 + 4 + 0 + 126 + 17 + 508 + 9 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146712 + ... + 2196371.

It is an arithmetic number, because the mean of its divisors is an integer number (66479150790).

Almost surely, 2^{2401261750890} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401261750890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190999237920).

2401261750890 is an abundant number, since it is smaller than the sum of its proper divisors (3980736724950).

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

2401261750890 is a wasteful number, since it uses less digits than its factorization.

2401261750890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343348 (or 2343345 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2401261750890 in words is "two trillion, four hundred one billion, two hundred sixty-one million, seven hundred fifty thousand, eight hundred ninety".