1541064990 has 64 divisors (see below), whose sum is σ = 3783942144. Its totient is φ = 401563008.

The previous prime is 1541064983. The next prime is 1541064997. The reversal of 1541064990 is 994601451.

It is an interprime number because it is at equal distance from previous prime (1541064983) and next prime (1541064997).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1541064997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252252 + ... + 258288.

It is an arithmetic number, because the mean of its divisors is an integer number (59124096).

Almost surely, 2^1541064990 is an apocalyptic number.

1541064990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1541064990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891971072).

1541064990 is an abundant number, since it is smaller than the sum of its proper divisors (2242877154).

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

1541064990 is a wasteful number, since it uses less digits than its factorization.

1541064990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6241.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1541064990 is about 39256.4006246115. The cubic root of 1541064990 is about 1155.0664904283.

The spelling of 1541064990 in words is "one billion, five hundred forty-one million, sixty-four thousand, nine hundred ninety".