2251041408 has 384 divisors, whose sum is σ = 8356656000. Its totient is φ = 583925760.

The previous prime is 2251041391. The next prime is 2251041427. The reversal of 2251041408 is 8041401522.

2251041408 is a `hidden beast` number, since 2 + 2 + 510 + 4 + 140 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2926848 + ... + 2927616.

It is an arithmetic number, because the mean of its divisors is an integer number (21762125).

Almost surely, 2^2251041408 is an apocalyptic number.

2251041408 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 2251041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178328000).

2251041408 is an abundant number, since it is smaller than the sum of its proper divisors (6105614592).

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

2251041408 is a wasteful number, since it uses less digits than its factorization.

2251041408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2251041408 is about 47445.1410367806. The cubic root of 2251041408 is about 1310.5728334070.

The spelling of 2251041408 in words is "two billion, two hundred fifty-one million, forty-one thousand, four hundred eight".