2261456820 has 360 divisors, whose sum is σ = 8528002560. Its totient is φ = 499685760.

The previous prime is 2261456819. The next prime is 2261456837. The reversal of 2261456820 is 286541622.

It is a happy number.

2261456820 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261456820² = 10228373897449024800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2460321 + ... + 2461239.

It is an arithmetic number, because the mean of its divisors is an integer number (23688896).

Almost surely, 2^2261456820 is an apocalyptic number.

2261456820 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 2261456820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264001280).

2261456820 is an abundant number, since it is smaller than the sum of its proper divisors (6266545740).

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

2261456820 is a wasteful number, since it uses less digits than its factorization.

2261456820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2261456820 is about 47554.7770471064. Note that the first 3 decimals coincide. The cubic root of 2261456820 is about 1312.5910336858.

The spelling of 2261456820 in words is "two billion, two hundred sixty-one million, four hundred fifty-six thousand, eight hundred twenty".